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Finding the Fourth Proportional to 11,442.77, 15,789.20 and 6,407.20

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Solution

The fourth proportional to 11,442.77, 15,789.20 and 6,407.20 is: 8,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.77 : 15,789.20 = 6,407.20 : x
  2. Step 2: Convert to fraction form
    11,442.77/15,789.20 = 6,407.20/x
  3. Step 3: Cross multiply
    11,442.77x = 15,789.20 × 6,407.20
  4. Step 4: Simplify right side
    11,442.77x = 101,164,549.94
  5. Step 5: Solve for x
    x = 101,164,549.94/11,442.77
  6. Step 6: Final answer
    x = 8,840.92

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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.