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Finding the Fourth Proportional to 2,071.78, 2,859.03 and 1,543.03

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Solution

The fourth proportional to 2,071.78, 2,859.03 and 1,543.03 is: 2,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.78 : 2,859.03 = 1,543.03 : x
  2. Step 2: Convert to fraction form
    2,071.78/2,859.03 = 1,543.03/x
  3. Step 3: Cross multiply
    2,071.78x = 2,859.03 × 1,543.03
  4. Step 4: Simplify right side
    2,071.78x = 4,411,569.06
  5. Step 5: Solve for x
    x = 4,411,569.06/2,071.78
  6. Step 6: Final answer
    x = 2,129.36

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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.