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Finding the Fourth Proportional to 28,041.80, 38,697.74 and 15,295

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Solution

The fourth proportional to 28,041.80, 38,697.74 and 15,295 is: 21,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,041.80 : 38,697.74 = 15,295 : x
  2. Step 2: Convert to fraction form
    28,041.80/38,697.74 = 15,295/x
  3. Step 3: Cross multiply
    28,041.80x = 38,697.74 × 15,295
  4. Step 4: Simplify right side
    28,041.80x = 591,881,933.30
  5. Step 5: Solve for x
    x = 591,881,933.30/28,041.80
  6. Step 6: Final answer
    x = 21,107.13

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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.