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Finding the Fourth Proportional to 14,400, 19,872 and 7,776

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Solution

The fourth proportional to 14,400, 19,872 and 7,776 is: 10,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400 : 19,872 = 7,776 : x
  2. Step 2: Convert to fraction form
    14,400/19,872 = 7,776/x
  3. Step 3: Cross multiply
    14,400x = 19,872 × 7,776
  4. Step 4: Simplify right side
    14,400x = 154,524,672
  5. Step 5: Solve for x
    x = 154,524,672/14,400
  6. Step 6: Final answer
    x = 10,730.88

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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.