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Finding the Fourth Proportional to 9,987, 13,782.06 and 5,571

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Solution

The fourth proportional to 9,987, 13,782.06 and 5,571 is: 7,687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987 : 13,782.06 = 5,571 : x
  2. Step 2: Convert to fraction form
    9,987/13,782.06 = 5,571/x
  3. Step 3: Cross multiply
    9,987x = 13,782.06 × 5,571
  4. Step 4: Simplify right side
    9,987x = 76,779,856.26
  5. Step 5: Solve for x
    x = 76,779,856.26/9,987
  6. Step 6: Final answer
    x = 7,687.98

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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.