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Finding the Fourth Proportional to 15,471.50, 21,345.78 and 9,096.06

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Solution

The fourth proportional to 15,471.50, 21,345.78 and 9,096.06 is: 12,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.50 : 21,345.78 = 9,096.06 : x
  2. Step 2: Convert to fraction form
    15,471.50/21,345.78 = 9,096.06/x
  3. Step 3: Cross multiply
    15,471.50x = 21,345.78 × 9,096.06
  4. Step 4: Simplify right side
    15,471.50x = 194,162,495.63
  5. Step 5: Solve for x
    x = 194,162,495.63/15,471.50
  6. Step 6: Final answer
    x = 12,549.69

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.