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Finding the Fourth Proportional to 2,970.16, 4,455.68 and 2,787.92

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Solution

The fourth proportional to 2,970.16, 4,455.68 and 2,787.92 is: 4,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.16 : 4,455.68 = 2,787.92 : x
  2. Step 2: Convert to fraction form
    2,970.16/4,455.68 = 2,787.92/x
  3. Step 3: Cross multiply
    2,970.16x = 4,455.68 × 2,787.92
  4. Step 4: Simplify right side
    2,970.16x = 12,422,079.39
  5. Step 5: Solve for x
    x = 12,422,079.39/2,970.16
  6. Step 6: Final answer
    x = 4,182.29

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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.