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Finding the Fourth Proportional to 13,720.53, 18,934.16 and 7,752.14

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Solution

The fourth proportional to 13,720.53, 18,934.16 and 7,752.14 is: 10,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.53 : 18,934.16 = 7,752.14 : x
  2. Step 2: Convert to fraction form
    13,720.53/18,934.16 = 7,752.14/x
  3. Step 3: Cross multiply
    13,720.53x = 18,934.16 × 7,752.14
  4. Step 4: Simplify right side
    13,720.53x = 146,780,125.67
  5. Step 5: Solve for x
    x = 146,780,125.67/13,720.53
  6. Step 6: Final answer
    x = 10,697.85

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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.