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Finding the Fourth Proportional to 4,499.90, 6,749.30 and 1,902.50

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Solution

The fourth proportional to 4,499.90, 6,749.30 and 1,902.50 is: 2,853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.90 : 6,749.30 = 1,902.50 : x
  2. Step 2: Convert to fraction form
    4,499.90/6,749.30 = 1,902.50/x
  3. Step 3: Cross multiply
    4,499.90x = 6,749.30 × 1,902.50
  4. Step 4: Simplify right side
    4,499.90x = 12,840,543.25
  5. Step 5: Solve for x
    x = 12,840,543.25/4,499.90
  6. Step 6: Final answer
    x = 2,853.52

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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.