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Finding the Fourth Proportional to 15,472.64, 21,357.76 and 9,185

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Solution

The fourth proportional to 15,472.64, 21,357.76 and 9,185 is: 12,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472.64 : 21,357.76 = 9,185 : x
  2. Step 2: Convert to fraction form
    15,472.64/21,357.76 = 9,185/x
  3. Step 3: Cross multiply
    15,472.64x = 21,357.76 × 9,185
  4. Step 4: Simplify right side
    15,472.64x = 196,171,025.60
  5. Step 5: Solve for x
    x = 196,171,025.60/15,472.64
  6. Step 6: Final answer
    x = 12,678.57

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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.