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Finding the Fourth Proportional to 7,966.87, 10,999.20 and 5,135.25

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Solution

The fourth proportional to 7,966.87, 10,999.20 and 5,135.25 is: 7,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.87 : 10,999.20 = 5,135.25 : x
  2. Step 2: Convert to fraction form
    7,966.87/10,999.20 = 5,135.25/x
  3. Step 3: Cross multiply
    7,966.87x = 10,999.20 × 5,135.25
  4. Step 4: Simplify right side
    7,966.87x = 56,483,641.80
  5. Step 5: Solve for x
    x = 56,483,641.80/7,966.87
  6. Step 6: Final answer
    x = 7,089.82

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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.