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Finding the Fourth Proportional to 28,416, 42,624 and 8,960

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Solution

The fourth proportional to 28,416, 42,624 and 8,960 is: 13,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416 : 42,624 = 8,960 : x
  2. Step 2: Convert to fraction form
    28,416/42,624 = 8,960/x
  3. Step 3: Cross multiply
    28,416x = 42,624 × 8,960
  4. Step 4: Simplify right side
    28,416x = 381,911,040
  5. Step 5: Solve for x
    x = 381,911,040/28,416
  6. Step 6: Final answer
    x = 13,440

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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.