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Finding the Fourth Proportional to 9,347.28, 12,897.92 and 5,809.20

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Solution

The fourth proportional to 9,347.28, 12,897.92 and 5,809.20 is: 8,015.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.28 : 12,897.92 = 5,809.20 : x
  2. Step 2: Convert to fraction form
    9,347.28/12,897.92 = 5,809.20/x
  3. Step 3: Cross multiply
    9,347.28x = 12,897.92 × 5,809.20
  4. Step 4: Simplify right side
    9,347.28x = 74,926,596.86
  5. Step 5: Solve for x
    x = 74,926,596.86/9,347.28
  6. Step 6: Final answer
    x = 8,015.87

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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.