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Finding the Fourth Proportional to 1,707.68, 2,543.87 and 1,656.05

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Solution

The fourth proportional to 1,707.68, 2,543.87 and 1,656.05 is: 2,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.68 : 2,543.87 = 1,656.05 : x
  2. Step 2: Convert to fraction form
    1,707.68/2,543.87 = 1,656.05/x
  3. Step 3: Cross multiply
    1,707.68x = 2,543.87 × 1,656.05
  4. Step 4: Simplify right side
    1,707.68x = 4,212,784.49
  5. Step 5: Solve for x
    x = 4,212,784.49/1,707.68
  6. Step 6: Final answer
    x = 2,466.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.