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Finding the Fourth Proportional to 1,500.22, 2,070.36 and 902.90

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Solution

The fourth proportional to 1,500.22, 2,070.36 and 902.90 is: 1,246.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.22 : 2,070.36 = 902.90 : x
  2. Step 2: Convert to fraction form
    1,500.22/2,070.36 = 902.90/x
  3. Step 3: Cross multiply
    1,500.22x = 2,070.36 × 902.90
  4. Step 4: Simplify right side
    1,500.22x = 1,869,321.57
  5. Step 5: Solve for x
    x = 1,869,321.57/1,500.22
  6. Step 6: Final answer
    x = 1,246.03

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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.