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Finding the Fourth Proportional to 9,001.58, 13,458 and 7,630.25

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Solution

The fourth proportional to 9,001.58, 13,458 and 7,630.25 is: 11,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.58 : 13,458 = 7,630.25 : x
  2. Step 2: Convert to fraction form
    9,001.58/13,458 = 7,630.25/x
  3. Step 3: Cross multiply
    9,001.58x = 13,458 × 7,630.25
  4. Step 4: Simplify right side
    9,001.58x = 102,687,904.50
  5. Step 5: Solve for x
    x = 102,687,904.50/9,001.58
  6. Step 6: Final answer
    x = 11,407.76

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1.5x scale

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.