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Finding the Fourth Proportional to 4,270.88, 6,407.12 and 1,348.40

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Solution

The fourth proportional to 4,270.88, 6,407.12 and 1,348.40 is: 2,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.88 : 6,407.12 = 1,348.40 : x
  2. Step 2: Convert to fraction form
    4,270.88/6,407.12 = 1,348.40/x
  3. Step 3: Cross multiply
    4,270.88x = 6,407.12 × 1,348.40
  4. Step 4: Simplify right side
    4,270.88x = 8,639,360.61
  5. Step 5: Solve for x
    x = 8,639,360.61/4,270.88
  6. Step 6: Final answer
    x = 2,022.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.