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Finding the Fourth Proportional to 14,165.66, 19,549.14 and 7,878.44

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Solution

The fourth proportional to 14,165.66, 19,549.14 and 7,878.44 is: 10,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.66 : 19,549.14 = 7,878.44 : x
  2. Step 2: Convert to fraction form
    14,165.66/19,549.14 = 7,878.44/x
  3. Step 3: Cross multiply
    14,165.66x = 19,549.14 × 7,878.44
  4. Step 4: Simplify right side
    14,165.66x = 154,016,726.54
  5. Step 5: Solve for x
    x = 154,016,726.54/14,165.66
  6. Step 6: Final answer
    x = 10,872.54

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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.