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Finding the Fourth Proportional to 25,729.52, 35,509.90 and 15,659

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Solution

The fourth proportional to 25,729.52, 35,509.90 and 15,659 is: 21,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.52 : 35,509.90 = 15,659 : x
  2. Step 2: Convert to fraction form
    25,729.52/35,509.90 = 15,659/x
  3. Step 3: Cross multiply
    25,729.52x = 35,509.90 × 15,659
  4. Step 4: Simplify right side
    25,729.52x = 556,049,524.10
  5. Step 5: Solve for x
    x = 556,049,524.10/25,729.52
  6. Step 6: Final answer
    x = 21,611.34

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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.