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Finding the Fourth Proportional to 13,860, 19,126.80 and 7,572.38

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Solution

The fourth proportional to 13,860, 19,126.80 and 7,572.38 is: 10,449.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 19,126.80 = 7,572.38 : x
  2. Step 2: Convert to fraction form
    13,860/19,126.80 = 7,572.38/x
  3. Step 3: Cross multiply
    13,860x = 19,126.80 × 7,572.38
  4. Step 4: Simplify right side
    13,860x = 144,835,302.15
  5. Step 5: Solve for x
    x = 144,835,302.15/13,860
  6. Step 6: Final answer
    x = 10,449.88

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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.