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Finding the Fourth Proportional to 16,488.48, 22,747.32 and 9,409.08

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Solution

The fourth proportional to 16,488.48, 22,747.32 and 9,409.08 is: 12,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.48 : 22,747.32 = 9,409.08 : x
  2. Step 2: Convert to fraction form
    16,488.48/22,747.32 = 9,409.08/x
  3. Step 3: Cross multiply
    16,488.48x = 22,747.32 × 9,409.08
  4. Step 4: Simplify right side
    16,488.48x = 214,031,353.67
  5. Step 5: Solve for x
    x = 214,031,353.67/16,488.48
  6. Step 6: Final answer
    x = 12,980.66

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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.