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Finding the Fourth Proportional to 2,970.66, 4,478.52 and 2,811.90

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Solution

The fourth proportional to 2,970.66, 4,478.52 and 2,811.90 is: 4,239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,478.52 = 2,811.90 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,478.52 = 2,811.90/x
  3. Step 3: Cross multiply
    2,970.66x = 4,478.52 × 2,811.90
  4. Step 4: Simplify right side
    2,970.66x = 12,593,150.39
  5. Step 5: Solve for x
    x = 12,593,150.39/2,970.66
  6. Step 6: Final answer
    x = 4,239.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.