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Finding the Fourth Proportional to 13,987, 20,986.98 and 7,416.28

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Solution

The fourth proportional to 13,987, 20,986.98 and 7,416.28 is: 11,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987 : 20,986.98 = 7,416.28 : x
  2. Step 2: Convert to fraction form
    13,987/20,986.98 = 7,416.28/x
  3. Step 3: Cross multiply
    13,987x = 20,986.98 × 7,416.28
  4. Step 4: Simplify right side
    13,987x = 155,645,320.03
  5. Step 5: Solve for x
    x = 155,645,320.03/13,987
  6. Step 6: Final answer
    x = 11,127.86

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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.