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Finding the Fourth Proportional to 2,971.66, 4,100.80 and 1,712.72

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Solution

The fourth proportional to 2,971.66, 4,100.80 and 1,712.72 is: 2,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.66 : 4,100.80 = 1,712.72 : x
  2. Step 2: Convert to fraction form
    2,971.66/4,100.80 = 1,712.72/x
  3. Step 3: Cross multiply
    2,971.66x = 4,100.80 × 1,712.72
  4. Step 4: Simplify right side
    2,971.66x = 7,023,522.18
  5. Step 5: Solve for x
    x = 7,023,522.18/2,971.66
  6. Step 6: Final answer
    x = 2,363.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.