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Finding the Fourth Proportional to 12,987.60, 19,471.80 and 8,817.20

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Solution

The fourth proportional to 12,987.60, 19,471.80 and 8,817.20 is: 13,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.60 : 19,471.80 = 8,817.20 : x
  2. Step 2: Convert to fraction form
    12,987.60/19,471.80 = 8,817.20/x
  3. Step 3: Cross multiply
    12,987.60x = 19,471.80 × 8,817.20
  4. Step 4: Simplify right side
    12,987.60x = 171,686,754.96
  5. Step 5: Solve for x
    x = 171,686,754.96/12,987.60
  6. Step 6: Final answer
    x = 13,219.28

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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.