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Finding the Fourth Proportional to 4,580.12, 6,870 and 1,658.48

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Solution

The fourth proportional to 4,580.12, 6,870 and 1,658.48 is: 2,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.12 : 6,870 = 1,658.48 : x
  2. Step 2: Convert to fraction form
    4,580.12/6,870 = 1,658.48/x
  3. Step 3: Cross multiply
    4,580.12x = 6,870 × 1,658.48
  4. Step 4: Simplify right side
    4,580.12x = 11,393,757.60
  5. Step 5: Solve for x
    x = 11,393,757.60/4,580.12
  6. Step 6: Final answer
    x = 2,487.65

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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.