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Finding the Fourth Proportional to 2,165.64, 2,987.28 and 1,640.76

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Solution

The fourth proportional to 2,165.64, 2,987.28 and 1,640.76 is: 2,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.64 : 2,987.28 = 1,640.76 : x
  2. Step 2: Convert to fraction form
    2,165.64/2,987.28 = 1,640.76/x
  3. Step 3: Cross multiply
    2,165.64x = 2,987.28 × 1,640.76
  4. Step 4: Simplify right side
    2,165.64x = 4,901,409.53
  5. Step 5: Solve for x
    x = 4,901,409.53/2,165.64
  6. Step 6: Final answer
    x = 2,263.26

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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.