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Finding the Fourth Proportional to 16,191.74, 22,344 and 9,118.46

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Solution

The fourth proportional to 16,191.74, 22,344 and 9,118.46 is: 12,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.74 : 22,344 = 9,118.46 : x
  2. Step 2: Convert to fraction form
    16,191.74/22,344 = 9,118.46/x
  3. Step 3: Cross multiply
    16,191.74x = 22,344 × 9,118.46
  4. Step 4: Simplify right side
    16,191.74x = 203,742,870.24
  5. Step 5: Solve for x
    x = 203,742,870.24/16,191.74
  6. Step 6: Final answer
    x = 12,583.14

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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.