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Finding the Fourth Proportional to 4,854.60, 7,281.90 and 1,391.40

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Solution

The fourth proportional to 4,854.60, 7,281.90 and 1,391.40 is: 2,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.60 : 7,281.90 = 1,391.40 : x
  2. Step 2: Convert to fraction form
    4,854.60/7,281.90 = 1,391.40/x
  3. Step 3: Cross multiply
    4,854.60x = 7,281.90 × 1,391.40
  4. Step 4: Simplify right side
    4,854.60x = 10,132,035.66
  5. Step 5: Solve for x
    x = 10,132,035.66/4,854.60
  6. Step 6: Final answer
    x = 2,087.10

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Why These Related Problems?

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