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Finding the Fourth Proportional to 9,077.76, 12,523.68 and 5,719.68

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Solution

The fourth proportional to 9,077.76, 12,523.68 and 5,719.68 is: 7,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.76 : 12,523.68 = 5,719.68 : x
  2. Step 2: Convert to fraction form
    9,077.76/12,523.68 = 5,719.68/x
  3. Step 3: Cross multiply
    9,077.76x = 12,523.68 × 5,719.68
  4. Step 4: Simplify right side
    9,077.76x = 71,631,442.02
  5. Step 5: Solve for x
    x = 71,631,442.02/9,077.76
  6. Step 6: Final answer
    x = 7,890.87

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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.