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Finding the Fourth Proportional to 2,153.66, 2,974.14 and 1,856.14

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Solution

The fourth proportional to 2,153.66, 2,974.14 and 1,856.14 is: 2,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.66 : 2,974.14 = 1,856.14 : x
  2. Step 2: Convert to fraction form
    2,153.66/2,974.14 = 1,856.14/x
  3. Step 3: Cross multiply
    2,153.66x = 2,974.14 × 1,856.14
  4. Step 4: Simplify right side
    2,153.66x = 5,520,412.78
  5. Step 5: Solve for x
    x = 5,520,412.78/2,153.66
  6. Step 6: Final answer
    x = 2,563.28

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1.5x scale

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.