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Finding the Fourth Proportional to 9,034.56, 12,455.03 and 7,788.87

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Solution

The fourth proportional to 9,034.56, 12,455.03 and 7,788.87 is: 10,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.56 : 12,455.03 = 7,788.87 : x
  2. Step 2: Convert to fraction form
    9,034.56/12,455.03 = 7,788.87/x
  3. Step 3: Cross multiply
    9,034.56x = 12,455.03 × 7,788.87
  4. Step 4: Simplify right side
    9,034.56x = 97,010,570.57
  5. Step 5: Solve for x
    x = 97,010,570.57/9,034.56
  6. Step 6: Final answer
    x = 10,737.72

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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.