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Finding the Fourth Proportional to 2,924, 4,386.76 and 872

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Solution

The fourth proportional to 2,924, 4,386.76 and 872 is: 1,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924 : 4,386.76 = 872 : x
  2. Step 2: Convert to fraction form
    2,924/4,386.76 = 872/x
  3. Step 3: Cross multiply
    2,924x = 4,386.76 × 872
  4. Step 4: Simplify right side
    2,924x = 3,825,254.72
  5. Step 5: Solve for x
    x = 3,825,254.72/2,924
  6. Step 6: Final answer
    x = 1,308.23

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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.