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Finding the Fourth Proportional to 10,643.32, 15,950.18 and 5,438.20

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Solution

The fourth proportional to 10,643.32, 15,950.18 and 5,438.20 is: 8,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.32 : 15,950.18 = 5,438.20 : x
  2. Step 2: Convert to fraction form
    10,643.32/15,950.18 = 5,438.20/x
  3. Step 3: Cross multiply
    10,643.32x = 15,950.18 × 5,438.20
  4. Step 4: Simplify right side
    10,643.32x = 86,740,268.88
  5. Step 5: Solve for x
    x = 86,740,268.88/10,643.32
  6. Step 6: Final answer
    x = 8,149.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.