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Finding the Fourth Proportional to 2,928.34, 4,392.05 and 954.04

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Solution

The fourth proportional to 2,928.34, 4,392.05 and 954.04 is: 1,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.34 : 4,392.05 = 954.04 : x
  2. Step 2: Convert to fraction form
    2,928.34/4,392.05 = 954.04/x
  3. Step 3: Cross multiply
    2,928.34x = 4,392.05 × 954.04
  4. Step 4: Simplify right side
    2,928.34x = 4,190,191.38
  5. Step 5: Solve for x
    x = 4,190,191.38/2,928.34
  6. Step 6: Final answer
    x = 1,430.91

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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.