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Finding the Fourth Proportional to 28,358.59, 42,537.94 and 7,582.09

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Solution

The fourth proportional to 28,358.59, 42,537.94 and 7,582.09 is: 11,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,358.59 : 42,537.94 = 7,582.09 : x
  2. Step 2: Convert to fraction form
    28,358.59/42,537.94 = 7,582.09/x
  3. Step 3: Cross multiply
    28,358.59x = 42,537.94 × 7,582.09
  4. Step 4: Simplify right side
    28,358.59x = 322,526,489.49
  5. Step 5: Solve for x
    x = 322,526,489.49/28,358.59
  6. Step 6: Final answer
    x = 11,373.15

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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.