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Finding the Fourth Proportional to 15,624, 23,441.76 and 8,228.16

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Solution

The fourth proportional to 15,624, 23,441.76 and 8,228.16 is: 12,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,624 : 23,441.76 = 8,228.16 : x
  2. Step 2: Convert to fraction form
    15,624/23,441.76 = 8,228.16/x
  3. Step 3: Cross multiply
    15,624x = 23,441.76 × 8,228.16
  4. Step 4: Simplify right side
    15,624x = 192,882,551.96
  5. Step 5: Solve for x
    x = 192,882,551.96/15,624
  6. Step 6: Final answer
    x = 12,345.27

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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.