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Finding the Fourth Proportional to 10,358.70, 15,538.05 and 10,142.70

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Solution

The fourth proportional to 10,358.70, 15,538.05 and 10,142.70 is: 15,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.70 : 15,538.05 = 10,142.70 : x
  2. Step 2: Convert to fraction form
    10,358.70/15,538.05 = 10,142.70/x
  3. Step 3: Cross multiply
    10,358.70x = 15,538.05 × 10,142.70
  4. Step 4: Simplify right side
    10,358.70x = 157,597,779.74
  5. Step 5: Solve for x
    x = 157,597,779.74/10,358.70
  6. Step 6: Final answer
    x = 15,214.05

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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.