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Finding the Fourth Proportional to 14,577.48, 20,115 and 8,204.40

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Solution

The fourth proportional to 14,577.48, 20,115 and 8,204.40 is: 11,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.48 : 20,115 = 8,204.40 : x
  2. Step 2: Convert to fraction form
    14,577.48/20,115 = 8,204.40/x
  3. Step 3: Cross multiply
    14,577.48x = 20,115 × 8,204.40
  4. Step 4: Simplify right side
    14,577.48x = 165,031,506
  5. Step 5: Solve for x
    x = 165,031,506/14,577.48
  6. Step 6: Final answer
    x = 11,320.99

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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.