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Finding the Fourth Proportional to 2,929.74, 4,393.71 and 981.49

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Solution

The fourth proportional to 2,929.74, 4,393.71 and 981.49 is: 1,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.74 : 4,393.71 = 981.49 : x
  2. Step 2: Convert to fraction form
    2,929.74/4,393.71 = 981.49/x
  3. Step 3: Cross multiply
    2,929.74x = 4,393.71 × 981.49
  4. Step 4: Simplify right side
    2,929.74x = 4,312,387.90
  5. Step 5: Solve for x
    x = 4,312,387.90/2,929.74
  6. Step 6: Final answer
    x = 1,471.93

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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.