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Finding the Fourth Proportional to 18,509.80, 25,543 and 10,125.76

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Solution

The fourth proportional to 18,509.80, 25,543 and 10,125.76 is: 13,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.80 : 25,543 = 10,125.76 : x
  2. Step 2: Convert to fraction form
    18,509.80/25,543 = 10,125.76/x
  3. Step 3: Cross multiply
    18,509.80x = 25,543 × 10,125.76
  4. Step 4: Simplify right side
    18,509.80x = 258,642,287.68
  5. Step 5: Solve for x
    x = 258,642,287.68/18,509.80
  6. Step 6: Final answer
    x = 13,973.26

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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.