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Finding the Fourth Proportional to 1,656.25, 2,496.29 and 1,427.90

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Solution

The fourth proportional to 1,656.25, 2,496.29 and 1,427.90 is: 2,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.25 : 2,496.29 = 1,427.90 : x
  2. Step 2: Convert to fraction form
    1,656.25/2,496.29 = 1,427.90/x
  3. Step 3: Cross multiply
    1,656.25x = 2,496.29 × 1,427.90
  4. Step 4: Simplify right side
    1,656.25x = 3,564,454.94
  5. Step 5: Solve for x
    x = 3,564,454.94/1,656.25
  6. Step 6: Final answer
    x = 2,152.12

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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.