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Finding the Fourth Proportional to 2,286.42, 3,430.47 and 970.46

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Solution

The fourth proportional to 2,286.42, 3,430.47 and 970.46 is: 1,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.42 : 3,430.47 = 970.46 : x
  2. Step 2: Convert to fraction form
    2,286.42/3,430.47 = 970.46/x
  3. Step 3: Cross multiply
    2,286.42x = 3,430.47 × 970.46
  4. Step 4: Simplify right side
    2,286.42x = 3,329,133.92
  5. Step 5: Solve for x
    x = 3,329,133.92/2,286.42
  6. Step 6: Final answer
    x = 1,456.05

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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.