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Finding the Fourth Proportional to 10,316.74, 15,447.03 and 9,642.82

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Solution

The fourth proportional to 10,316.74, 15,447.03 and 9,642.82 is: 14,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.74 : 15,447.03 = 9,642.82 : x
  2. Step 2: Convert to fraction form
    10,316.74/15,447.03 = 9,642.82/x
  3. Step 3: Cross multiply
    10,316.74x = 15,447.03 × 9,642.82
  4. Step 4: Simplify right side
    10,316.74x = 148,952,929.82
  5. Step 5: Solve for x
    x = 148,952,929.82/10,316.74
  6. Step 6: Final answer
    x = 14,437.98

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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.