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Finding the Fourth Proportional to 14,506, 20,018.40 and 7,882

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Solution

The fourth proportional to 14,506, 20,018.40 and 7,882 is: 10,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506 : 20,018.40 = 7,882 : x
  2. Step 2: Convert to fraction form
    14,506/20,018.40 = 7,882/x
  3. Step 3: Cross multiply
    14,506x = 20,018.40 × 7,882
  4. Step 4: Simplify right side
    14,506x = 157,785,028.80
  5. Step 5: Solve for x
    x = 157,785,028.80/14,506
  6. Step 6: Final answer
    x = 10,877.23

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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.