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Finding the Fourth Proportional to 2,298.57, 3,430.07 and 1,969.30

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Solution

The fourth proportional to 2,298.57, 3,430.07 and 1,969.30 is: 2,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.57 : 3,430.07 = 1,969.30 : x
  2. Step 2: Convert to fraction form
    2,298.57/3,430.07 = 1,969.30/x
  3. Step 3: Cross multiply
    2,298.57x = 3,430.07 × 1,969.30
  4. Step 4: Simplify right side
    2,298.57x = 6,754,836.85
  5. Step 5: Solve for x
    x = 6,754,836.85/2,298.57
  6. Step 6: Final answer
    x = 2,938.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.