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Finding the Fourth Proportional to 14,368.32, 19,822 and 8,776

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Solution

The fourth proportional to 14,368.32, 19,822 and 8,776 is: 12,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.32 : 19,822 = 8,776 : x
  2. Step 2: Convert to fraction form
    14,368.32/19,822 = 8,776/x
  3. Step 3: Cross multiply
    14,368.32x = 19,822 × 8,776
  4. Step 4: Simplify right side
    14,368.32x = 173,957,872
  5. Step 5: Solve for x
    x = 173,957,872/14,368.32
  6. Step 6: Final answer
    x = 12,107.04

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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.