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Finding the Fourth Proportional to 7,807.52, 11,712.56 and 4,748.32

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Solution

The fourth proportional to 7,807.52, 11,712.56 and 4,748.32 is: 7,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.52 : 11,712.56 = 4,748.32 : x
  2. Step 2: Convert to fraction form
    7,807.52/11,712.56 = 4,748.32/x
  3. Step 3: Cross multiply
    7,807.52x = 11,712.56 × 4,748.32
  4. Step 4: Simplify right side
    7,807.52x = 55,614,982.90
  5. Step 5: Solve for x
    x = 55,614,982.90/7,807.52
  6. Step 6: Final answer
    x = 7,123.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.