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Finding the Fourth Proportional to 2,615.08, 3,920.15 and 970.51

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Solution

The fourth proportional to 2,615.08, 3,920.15 and 970.51 is: 1,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.08 : 3,920.15 = 970.51 : x
  2. Step 2: Convert to fraction form
    2,615.08/3,920.15 = 970.51/x
  3. Step 3: Cross multiply
    2,615.08x = 3,920.15 × 970.51
  4. Step 4: Simplify right side
    2,615.08x = 3,804,539.92
  5. Step 5: Solve for x
    x = 3,804,539.92/2,615.08
  6. Step 6: Final answer
    x = 1,454.85

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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.