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Finding the Fourth Proportional to 2,156.66, 2,977.20 and 1,410.65

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Solution

The fourth proportional to 2,156.66, 2,977.20 and 1,410.65 is: 1,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.66 : 2,977.20 = 1,410.65 : x
  2. Step 2: Convert to fraction form
    2,156.66/2,977.20 = 1,410.65/x
  3. Step 3: Cross multiply
    2,156.66x = 2,977.20 × 1,410.65
  4. Step 4: Simplify right side
    2,156.66x = 4,199,772.29
  5. Step 5: Solve for x
    x = 4,199,772.29/2,156.66
  6. Step 6: Final answer
    x = 1,947.35

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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.