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Finding the Fourth Proportional to 8,978.40, 13,464 and 5,281.60

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Solution

The fourth proportional to 8,978.40, 13,464 and 5,281.60 is: 7,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.40 : 13,464 = 5,281.60 : x
  2. Step 2: Convert to fraction form
    8,978.40/13,464 = 5,281.60/x
  3. Step 3: Cross multiply
    8,978.40x = 13,464 × 5,281.60
  4. Step 4: Simplify right side
    8,978.40x = 71,111,462.40
  5. Step 5: Solve for x
    x = 71,111,462.40/8,978.40
  6. Step 6: Final answer
    x = 7,920.28

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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.