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Finding the Fourth Proportional to 15,583.46, 21,502.31 and 9,211.08

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Solution

The fourth proportional to 15,583.46, 21,502.31 and 9,211.08 is: 12,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.46 : 21,502.31 = 9,211.08 : x
  2. Step 2: Convert to fraction form
    15,583.46/21,502.31 = 9,211.08/x
  3. Step 3: Cross multiply
    15,583.46x = 21,502.31 × 9,211.08
  4. Step 4: Simplify right side
    15,583.46x = 198,059,532.17
  5. Step 5: Solve for x
    x = 198,059,532.17/15,583.46
  6. Step 6: Final answer
    x = 12,709.60

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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.