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Finding the Fourth Proportional to 3,145.89, 4,717.66 and 924

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Solution

The fourth proportional to 3,145.89, 4,717.66 and 924 is: 1,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.89 : 4,717.66 = 924 : x
  2. Step 2: Convert to fraction form
    3,145.89/4,717.66 = 924/x
  3. Step 3: Cross multiply
    3,145.89x = 4,717.66 × 924
  4. Step 4: Simplify right side
    3,145.89x = 4,359,117.84
  5. Step 5: Solve for x
    x = 4,359,117.84/3,145.89
  6. Step 6: Final answer
    x = 1,385.65

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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.