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Finding the Fourth Proportional to 7,966.88, 10,999.20 and 5,135.24

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Solution

The fourth proportional to 7,966.88, 10,999.20 and 5,135.24 is: 7,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.88 : 10,999.20 = 5,135.24 : x
  2. Step 2: Convert to fraction form
    7,966.88/10,999.20 = 5,135.24/x
  3. Step 3: Cross multiply
    7,966.88x = 10,999.20 × 5,135.24
  4. Step 4: Simplify right side
    7,966.88x = 56,483,531.81
  5. Step 5: Solve for x
    x = 56,483,531.81/7,966.88
  6. Step 6: Final answer
    x = 7,089.79

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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.