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Finding the Fourth Proportional to 21,298.68, 31,962.24 and 7,447.68

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Solution

The fourth proportional to 21,298.68, 31,962.24 and 7,447.68 is: 11,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298.68 : 31,962.24 = 7,447.68 : x
  2. Step 2: Convert to fraction form
    21,298.68/31,962.24 = 7,447.68/x
  3. Step 3: Cross multiply
    21,298.68x = 31,962.24 × 7,447.68
  4. Step 4: Simplify right side
    21,298.68x = 238,044,535.60
  5. Step 5: Solve for x
    x = 238,044,535.60/21,298.68
  6. Step 6: Final answer
    x = 11,176.49

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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.