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Finding the Fourth Proportional to 2,286.41, 3,430.51 and 970.45

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Solution

The fourth proportional to 2,286.41, 3,430.51 and 970.45 is: 1,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.41 : 3,430.51 = 970.45 : x
  2. Step 2: Convert to fraction form
    2,286.41/3,430.51 = 970.45/x
  3. Step 3: Cross multiply
    2,286.41x = 3,430.51 × 970.45
  4. Step 4: Simplify right side
    2,286.41x = 3,329,127.43
  5. Step 5: Solve for x
    x = 3,329,127.43/2,286.41
  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.