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Finding the Fourth Proportional to 6,387, 9,569.52 and 5,074.80

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Solution

The fourth proportional to 6,387, 9,569.52 and 5,074.80 is: 7,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387 : 9,569.52 = 5,074.80 : x
  2. Step 2: Convert to fraction form
    6,387/9,569.52 = 5,074.80/x
  3. Step 3: Cross multiply
    6,387x = 9,569.52 × 5,074.80
  4. Step 4: Simplify right side
    6,387x = 48,563,400.10
  5. Step 5: Solve for x
    x = 48,563,400.10/6,387
  6. Step 6: Final answer
    x = 7,603.48

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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.