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Finding the Fourth Proportional to 2,928.42, 4,392.63 and 1,470.42

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Solution

The fourth proportional to 2,928.42, 4,392.63 and 1,470.42 is: 2,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.42 : 4,392.63 = 1,470.42 : x
  2. Step 2: Convert to fraction form
    2,928.42/4,392.63 = 1,470.42/x
  3. Step 3: Cross multiply
    2,928.42x = 4,392.63 × 1,470.42
  4. Step 4: Simplify right side
    2,928.42x = 6,459,011.00
  5. Step 5: Solve for x
    x = 6,459,011.00/2,928.42
  6. Step 6: Final answer
    x = 2,205.63

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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.