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Finding the Fourth Proportional to 10,645.68, 14,691.84 and 7,054.56

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Solution

The fourth proportional to 10,645.68, 14,691.84 and 7,054.56 is: 9,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.68 : 14,691.84 = 7,054.56 : x
  2. Step 2: Convert to fraction form
    10,645.68/14,691.84 = 7,054.56/x
  3. Step 3: Cross multiply
    10,645.68x = 14,691.84 × 7,054.56
  4. Step 4: Simplify right side
    10,645.68x = 103,644,466.79
  5. Step 5: Solve for x
    x = 103,644,466.79/10,645.68
  6. Step 6: Final answer
    x = 9,735.82

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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.