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Finding the Fourth Proportional to 2,386.20, 3,572.10 and 2,098.20

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Solution

The fourth proportional to 2,386.20, 3,572.10 and 2,098.20 is: 3,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.20 : 3,572.10 = 2,098.20 : x
  2. Step 2: Convert to fraction form
    2,386.20/3,572.10 = 2,098.20/x
  3. Step 3: Cross multiply
    2,386.20x = 3,572.10 × 2,098.20
  4. Step 4: Simplify right side
    2,386.20x = 7,494,980.22
  5. Step 5: Solve for x
    x = 7,494,980.22/2,386.20
  6. Step 6: Final answer
    x = 3,140.97

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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.