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Finding the Fourth Proportional to 6,862.40, 9,468.64 and 4,029.20

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Solution

The fourth proportional to 6,862.40, 9,468.64 and 4,029.20 is: 5,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.40 : 9,468.64 = 4,029.20 : x
  2. Step 2: Convert to fraction form
    6,862.40/9,468.64 = 4,029.20/x
  3. Step 3: Cross multiply
    6,862.40x = 9,468.64 × 4,029.20
  4. Step 4: Simplify right side
    6,862.40x = 38,151,044.29
  5. Step 5: Solve for x
    x = 38,151,044.29/6,862.40
  6. Step 6: Final answer
    x = 5,559.43

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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.