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Finding the Fourth Proportional to 2,934.48, 4,402.38 and 986.63

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Solution

The fourth proportional to 2,934.48, 4,402.38 and 986.63 is: 1,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.48 : 4,402.38 = 986.63 : x
  2. Step 2: Convert to fraction form
    2,934.48/4,402.38 = 986.63/x
  3. Step 3: Cross multiply
    2,934.48x = 4,402.38 × 986.63
  4. Step 4: Simplify right side
    2,934.48x = 4,343,498.17
  5. Step 5: Solve for x
    x = 4,343,498.17/2,934.48
  6. Step 6: Final answer
    x = 1,480.16

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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.