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Finding the Fourth Proportional to 10,578.60, 15,874.65 and 5,038.20

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Solution

The fourth proportional to 10,578.60, 15,874.65 and 5,038.20 is: 7,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.60 : 15,874.65 = 5,038.20 : x
  2. Step 2: Convert to fraction form
    10,578.60/15,874.65 = 5,038.20/x
  3. Step 3: Cross multiply
    10,578.60x = 15,874.65 × 5,038.20
  4. Step 4: Simplify right side
    10,578.60x = 79,979,661.63
  5. Step 5: Solve for x
    x = 79,979,661.63/10,578.60
  6. Step 6: Final answer
    x = 7,560.51

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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.