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Finding the Fourth Proportional to 13,126, 18,113.48 and 7,157.78

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Solution

The fourth proportional to 13,126, 18,113.48 and 7,157.78 is: 9,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,126 : 18,113.48 = 7,157.78 : x
  2. Step 2: Convert to fraction form
    13,126/18,113.48 = 7,157.78/x
  3. Step 3: Cross multiply
    13,126x = 18,113.48 × 7,157.78
  4. Step 4: Simplify right side
    13,126x = 129,652,304.87
  5. Step 5: Solve for x
    x = 129,652,304.87/13,126
  6. Step 6: Final answer
    x = 9,877.52

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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.