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Finding the Fourth Proportional to 10,354.70, 15,532.05 and 7,730.30

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Solution

The fourth proportional to 10,354.70, 15,532.05 and 7,730.30 is: 11,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.70 : 15,532.05 = 7,730.30 : x
  2. Step 2: Convert to fraction form
    10,354.70/15,532.05 = 7,730.30/x
  3. Step 3: Cross multiply
    10,354.70x = 15,532.05 × 7,730.30
  4. Step 4: Simplify right side
    10,354.70x = 120,067,406.12
  5. Step 5: Solve for x
    x = 120,067,406.12/10,354.70
  6. Step 6: Final answer
    x = 11,595.45

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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.