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Finding the Fourth Proportional to 28,411, 42,624.60 and 9,695.20

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Solution

The fourth proportional to 28,411, 42,624.60 and 9,695.20 is: 14,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,411 : 42,624.60 = 9,695.20 : x
  2. Step 2: Convert to fraction form
    28,411/42,624.60 = 9,695.20/x
  3. Step 3: Cross multiply
    28,411x = 42,624.60 × 9,695.20
  4. Step 4: Simplify right side
    28,411x = 413,254,021.92
  5. Step 5: Solve for x
    x = 413,254,021.92/28,411
  6. Step 6: Final answer
    x = 14,545.56

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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.