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Finding the Fourth Proportional to 10,486.59, 15,729.87 and 7,189.69

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Solution

The fourth proportional to 10,486.59, 15,729.87 and 7,189.69 is: 10,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.59 : 15,729.87 = 7,189.69 : x
  2. Step 2: Convert to fraction form
    10,486.59/15,729.87 = 7,189.69/x
  3. Step 3: Cross multiply
    10,486.59x = 15,729.87 × 7,189.69
  4. Step 4: Simplify right side
    10,486.59x = 113,092,841.71
  5. Step 5: Solve for x
    x = 113,092,841.71/10,486.59
  6. Step 6: Final answer
    x = 10,784.52

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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.