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Finding the Fourth Proportional to 8,693.11, 11,987.66 and 7,438.32

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Solution

The fourth proportional to 8,693.11, 11,987.66 and 7,438.32 is: 10,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.11 : 11,987.66 = 7,438.32 : x
  2. Step 2: Convert to fraction form
    8,693.11/11,987.66 = 7,438.32/x
  3. Step 3: Cross multiply
    8,693.11x = 11,987.66 × 7,438.32
  4. Step 4: Simplify right side
    8,693.11x = 89,168,051.13
  5. Step 5: Solve for x
    x = 89,168,051.13/8,693.11
  6. Step 6: Final answer
    x = 10,257.32

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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.