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Finding the Fourth Proportional to 4,659.40, 6,990.30 and 1,372.50

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Solution

The fourth proportional to 4,659.40, 6,990.30 and 1,372.50 is: 2,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.40 : 6,990.30 = 1,372.50 : x
  2. Step 2: Convert to fraction form
    4,659.40/6,990.30 = 1,372.50/x
  3. Step 3: Cross multiply
    4,659.40x = 6,990.30 × 1,372.50
  4. Step 4: Simplify right side
    4,659.40x = 9,594,186.75
  5. Step 5: Solve for x
    x = 9,594,186.75/4,659.40
  6. Step 6: Final answer
    x = 2,059.10

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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.