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Finding the Fourth Proportional to 2,929.52, 4,392.64 and 980.68

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Solution

The fourth proportional to 2,929.52, 4,392.64 and 980.68 is: 1,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.52 : 4,392.64 = 980.68 : x
  2. Step 2: Convert to fraction form
    2,929.52/4,392.64 = 980.68/x
  3. Step 3: Cross multiply
    2,929.52x = 4,392.64 × 980.68
  4. Step 4: Simplify right side
    2,929.52x = 4,307,774.20
  5. Step 5: Solve for x
    x = 4,307,774.20/2,929.52
  6. Step 6: Final answer
    x = 1,470.47

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1.5x scale

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.