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Finding the Fourth Proportional to 7,887.76, 10,862.96 and 7,715.53

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Solution

The fourth proportional to 7,887.76, 10,862.96 and 7,715.53 is: 10,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.76 : 10,862.96 = 7,715.53 : x
  2. Step 2: Convert to fraction form
    7,887.76/10,862.96 = 7,715.53/x
  3. Step 3: Cross multiply
    7,887.76x = 10,862.96 × 7,715.53
  4. Step 4: Simplify right side
    7,887.76x = 83,813,520.93
  5. Step 5: Solve for x
    x = 83,813,520.93/7,887.76
  6. Step 6: Final answer
    x = 10,625.77

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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.