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Finding the Fourth Proportional to 2,920.68, 4,379.76 and 972.36

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Solution

The fourth proportional to 2,920.68, 4,379.76 and 972.36 is: 1,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.68 : 4,379.76 = 972.36 : x
  2. Step 2: Convert to fraction form
    2,920.68/4,379.76 = 972.36/x
  3. Step 3: Cross multiply
    2,920.68x = 4,379.76 × 972.36
  4. Step 4: Simplify right side
    2,920.68x = 4,258,703.43
  5. Step 5: Solve for x
    x = 4,258,703.43/2,920.68
  6. Step 6: Final answer
    x = 1,458.12

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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.