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Finding the Fourth Proportional to 15,706.10, 21,680.19 and 10,402.63

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Solution

The fourth proportional to 15,706.10, 21,680.19 and 10,402.63 is: 14,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.10 : 21,680.19 = 10,402.63 : x
  2. Step 2: Convert to fraction form
    15,706.10/21,680.19 = 10,402.63/x
  3. Step 3: Cross multiply
    15,706.10x = 21,680.19 × 10,402.63
  4. Step 4: Simplify right side
    15,706.10x = 225,530,940.70
  5. Step 5: Solve for x
    x = 225,530,940.70/15,706.10
  6. Step 6: Final answer
    x = 14,359.45

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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.