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Finding the Fourth Proportional to 10,663.80, 15,970.98 and 10,294.68

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Solution

The fourth proportional to 10,663.80, 15,970.98 and 10,294.68 is: 15,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.80 : 15,970.98 = 10,294.68 : x
  2. Step 2: Convert to fraction form
    10,663.80/15,970.98 = 10,294.68/x
  3. Step 3: Cross multiply
    10,663.80x = 15,970.98 × 10,294.68
  4. Step 4: Simplify right side
    10,663.80x = 164,416,128.39
  5. Step 5: Solve for x
    x = 164,416,128.39/10,663.80
  6. Step 6: Final answer
    x = 15,418.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.