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Finding the Fourth Proportional to 13,697.52, 20,565.72 and 13,071.12

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Solution

The fourth proportional to 13,697.52, 20,565.72 and 13,071.12 is: 19,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.52 : 20,565.72 = 13,071.12 : x
  2. Step 2: Convert to fraction form
    13,697.52/20,565.72 = 13,071.12/x
  3. Step 3: Cross multiply
    13,697.52x = 20,565.72 × 13,071.12
  4. Step 4: Simplify right side
    13,697.52x = 268,816,994.01
  5. Step 5: Solve for x
    x = 268,816,994.01/13,697.52
  6. Step 6: Final answer
    x = 19,625.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.