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Finding the Fourth Proportional to 12,567.52, 18,823.52 and 7,872.20

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Solution

The fourth proportional to 12,567.52, 18,823.52 and 7,872.20 is: 11,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.52 : 18,823.52 = 7,872.20 : x
  2. Step 2: Convert to fraction form
    12,567.52/18,823.52 = 7,872.20/x
  3. Step 3: Cross multiply
    12,567.52x = 18,823.52 × 7,872.20
  4. Step 4: Simplify right side
    12,567.52x = 148,182,514.14
  5. Step 5: Solve for x
    x = 148,182,514.14/12,567.52
  6. Step 6: Final answer
    x = 11,790.91

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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.