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Finding the Fourth Proportional to 16,005.60, 23,959.80 and 9,412.20

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Solution

The fourth proportional to 16,005.60, 23,959.80 and 9,412.20 is: 14,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.60 : 23,959.80 = 9,412.20 : x
  2. Step 2: Convert to fraction form
    16,005.60/23,959.80 = 9,412.20/x
  3. Step 3: Cross multiply
    16,005.60x = 23,959.80 × 9,412.20
  4. Step 4: Simplify right side
    16,005.60x = 225,514,429.56
  5. Step 5: Solve for x
    x = 225,514,429.56/16,005.60
  6. Step 6: Final answer
    x = 14,089.72

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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.