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Finding the Fourth Proportional to 2,056, 2,830.75 and 1,868.92

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Solution

The fourth proportional to 2,056, 2,830.75 and 1,868.92 is: 2,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056 : 2,830.75 = 1,868.92 : x
  2. Step 2: Convert to fraction form
    2,056/2,830.75 = 1,868.92/x
  3. Step 3: Cross multiply
    2,056x = 2,830.75 × 1,868.92
  4. Step 4: Simplify right side
    2,056x = 5,290,445.29
  5. Step 5: Solve for x
    x = 5,290,445.29/2,056
  6. Step 6: Final answer
    x = 2,573.17

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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.