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Finding the Fourth Proportional to 2,071.04, 2,859 and 1,407.92

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Solution

The fourth proportional to 2,071.04, 2,859 and 1,407.92 is: 1,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.04 : 2,859 = 1,407.92 : x
  2. Step 2: Convert to fraction form
    2,071.04/2,859 = 1,407.92/x
  3. Step 3: Cross multiply
    2,071.04x = 2,859 × 1,407.92
  4. Step 4: Simplify right side
    2,071.04x = 4,025,243.28
  5. Step 5: Solve for x
    x = 4,025,243.28/2,071.04
  6. Step 6: Final answer
    x = 1,943.59

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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.