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Finding the Fourth Proportional to 19,658.15, 29,499.38 and 7,971.47

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Solution

The fourth proportional to 19,658.15, 29,499.38 and 7,971.47 is: 11,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.15 : 29,499.38 = 7,971.47 : x
  2. Step 2: Convert to fraction form
    19,658.15/29,499.38 = 7,971.47/x
  3. Step 3: Cross multiply
    19,658.15x = 29,499.38 × 7,971.47
  4. Step 4: Simplify right side
    19,658.15x = 235,153,422.69
  5. Step 5: Solve for x
    x = 235,153,422.69/19,658.15
  6. Step 6: Final answer
    x = 11,962.13

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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.