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Finding the Fourth Proportional to 9,876.88, 13,630 and 5,400.58

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Solution

The fourth proportional to 9,876.88, 13,630 and 5,400.58 is: 7,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.88 : 13,630 = 5,400.58 : x
  2. Step 2: Convert to fraction form
    9,876.88/13,630 = 5,400.58/x
  3. Step 3: Cross multiply
    9,876.88x = 13,630 × 5,400.58
  4. Step 4: Simplify right side
    9,876.88x = 73,609,905.40
  5. Step 5: Solve for x
    x = 73,609,905.40/9,876.88
  6. Step 6: Final answer
    x = 7,452.75

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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.