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Finding the Fourth Proportional to 10,974, 15,138.72 and 7,438.32

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Solution

The fourth proportional to 10,974, 15,138.72 and 7,438.32 is: 10,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 15,138.72 = 7,438.32 : x
  2. Step 2: Convert to fraction form
    10,974/15,138.72 = 7,438.32/x
  3. Step 3: Cross multiply
    10,974x = 15,138.72 × 7,438.32
  4. Step 4: Simplify right side
    10,974x = 112,606,643.75
  5. Step 5: Solve for x
    x = 112,606,643.75/10,974
  6. Step 6: Final answer
    x = 10,261.22

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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.