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Finding the Fourth Proportional to 14,165.91, 19,549.49 and 7,878.69

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Solution

The fourth proportional to 14,165.91, 19,549.49 and 7,878.69 is: 10,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.91 : 19,549.49 = 7,878.69 : x
  2. Step 2: Convert to fraction form
    14,165.91/19,549.49 = 7,878.69/x
  3. Step 3: Cross multiply
    14,165.91x = 19,549.49 × 7,878.69
  4. Step 4: Simplify right side
    14,165.91x = 154,024,331.97
  5. Step 5: Solve for x
    x = 154,024,331.97/14,165.91
  6. Step 6: Final answer
    x = 10,872.89

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1.5x scale

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.