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Finding the Fourth Proportional to 7,758.73, 11,638.15 and 5,287.42

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Solution

The fourth proportional to 7,758.73, 11,638.15 and 5,287.42 is: 7,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.73 : 11,638.15 = 5,287.42 : x
  2. Step 2: Convert to fraction form
    7,758.73/11,638.15 = 5,287.42/x
  3. Step 3: Cross multiply
    7,758.73x = 11,638.15 × 5,287.42
  4. Step 4: Simplify right side
    7,758.73x = 61,535,788.40
  5. Step 5: Solve for x
    x = 61,535,788.40/7,758.73
  6. Step 6: Final answer
    x = 7,931.17

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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.