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Finding the Fourth Proportional to 7,854.87, 10,839.65 and 4,269.81

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Solution

The fourth proportional to 7,854.87, 10,839.65 and 4,269.81 is: 5,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.87 : 10,839.65 = 4,269.81 : x
  2. Step 2: Convert to fraction form
    7,854.87/10,839.65 = 4,269.81/x
  3. Step 3: Cross multiply
    7,854.87x = 10,839.65 × 4,269.81
  4. Step 4: Simplify right side
    7,854.87x = 46,283,277.27
  5. Step 5: Solve for x
    x = 46,283,277.27/7,854.87
  6. Step 6: Final answer
    x = 5,892.30

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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.