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Finding the Fourth Proportional to 16,207, 24,312 and 7,440.64

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Solution

The fourth proportional to 16,207, 24,312 and 7,440.64 is: 11,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207 : 24,312 = 7,440.64 : x
  2. Step 2: Convert to fraction form
    16,207/24,312 = 7,440.64/x
  3. Step 3: Cross multiply
    16,207x = 24,312 × 7,440.64
  4. Step 4: Simplify right side
    16,207x = 180,896,839.68
  5. Step 5: Solve for x
    x = 180,896,839.68/16,207
  6. Step 6: Final answer
    x = 11,161.65

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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.