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Finding the Fourth Proportional to 14,970.80, 20,659.64 and 8,686.80

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Solution

The fourth proportional to 14,970.80, 20,659.64 and 8,686.80 is: 11,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.80 : 20,659.64 = 8,686.80 : x
  2. Step 2: Convert to fraction form
    14,970.80/20,659.64 = 8,686.80/x
  3. Step 3: Cross multiply
    14,970.80x = 20,659.64 × 8,686.80
  4. Step 4: Simplify right side
    14,970.80x = 179,466,160.75
  5. Step 5: Solve for x
    x = 179,466,160.75/14,970.80
  6. Step 6: Final answer
    x = 11,987.75

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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.