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Finding the Fourth Proportional to 6,429.60, 8,862.48 and 6,429.60

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Solution

The fourth proportional to 6,429.60, 8,862.48 and 6,429.60 is: 8,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.60 : 8,862.48 = 6,429.60 : x
  2. Step 2: Convert to fraction form
    6,429.60/8,862.48 = 6,429.60/x
  3. Step 3: Cross multiply
    6,429.60x = 8,862.48 × 6,429.60
  4. Step 4: Simplify right side
    6,429.60x = 56,982,201.41
  5. Step 5: Solve for x
    x = 56,982,201.41/6,429.60
  6. Step 6: Final answer
    x = 8,862.48

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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.