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Finding the Fourth Proportional to 2,820.16, 4,229.70 and 972.46

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Solution

The fourth proportional to 2,820.16, 4,229.70 and 972.46 is: 1,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.16 : 4,229.70 = 972.46 : x
  2. Step 2: Convert to fraction form
    2,820.16/4,229.70 = 972.46/x
  3. Step 3: Cross multiply
    2,820.16x = 4,229.70 × 972.46
  4. Step 4: Simplify right side
    2,820.16x = 4,113,214.06
  5. Step 5: Solve for x
    x = 4,113,214.06/2,820.16
  6. Step 6: Final answer
    x = 1,458.50

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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.