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Finding the Fourth Proportional to 8,765, 12,097.14 and 5,038.28

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Solution

The fourth proportional to 8,765, 12,097.14 and 5,038.28 is: 6,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765 : 12,097.14 = 5,038.28 : x
  2. Step 2: Convert to fraction form
    8,765/12,097.14 = 5,038.28/x
  3. Step 3: Cross multiply
    8,765x = 12,097.14 × 5,038.28
  4. Step 4: Simplify right side
    8,765x = 60,948,778.52
  5. Step 5: Solve for x
    x = 60,948,778.52/8,765
  6. Step 6: Final answer
    x = 6,953.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.