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Finding the Fourth Proportional to 13,013.60, 17,960.12 and 7,981.16

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Solution

The fourth proportional to 13,013.60, 17,960.12 and 7,981.16 is: 11,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.60 : 17,960.12 = 7,981.16 : x
  2. Step 2: Convert to fraction form
    13,013.60/17,960.12 = 7,981.16/x
  3. Step 3: Cross multiply
    13,013.60x = 17,960.12 × 7,981.16
  4. Step 4: Simplify right side
    13,013.60x = 143,342,591.34
  5. Step 5: Solve for x
    x = 143,342,591.34/13,013.60
  6. Step 6: Final answer
    x = 11,014.83

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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.