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Finding the Fourth Proportional to 15,190.80, 20,978.31 and 9,888.69

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Solution

The fourth proportional to 15,190.80, 20,978.31 and 9,888.69 is: 13,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,190.80 : 20,978.31 = 9,888.69 : x
  2. Step 2: Convert to fraction form
    15,190.80/20,978.31 = 9,888.69/x
  3. Step 3: Cross multiply
    15,190.80x = 20,978.31 × 9,888.69
  4. Step 4: Simplify right side
    15,190.80x = 207,447,954.87
  5. Step 5: Solve for x
    x = 207,447,954.87/15,190.80
  6. Step 6: Final answer
    x = 13,656.16

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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.