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Finding the Fourth Proportional to 11,587, 15,990.06 and 6,619

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Solution

The fourth proportional to 11,587, 15,990.06 and 6,619 is: 9,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587 : 15,990.06 = 6,619 : x
  2. Step 2: Convert to fraction form
    11,587/15,990.06 = 6,619/x
  3. Step 3: Cross multiply
    11,587x = 15,990.06 × 6,619
  4. Step 4: Simplify right side
    11,587x = 105,838,207.14
  5. Step 5: Solve for x
    x = 105,838,207.14/11,587
  6. Step 6: Final answer
    x = 9,134.22

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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.