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Finding the Fourth Proportional to 2,543.05, 3,509.31 and 1,424.05

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Solution

The fourth proportional to 2,543.05, 3,509.31 and 1,424.05 is: 1,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.05 : 3,509.31 = 1,424.05 : x
  2. Step 2: Convert to fraction form
    2,543.05/3,509.31 = 1,424.05/x
  3. Step 3: Cross multiply
    2,543.05x = 3,509.31 × 1,424.05
  4. Step 4: Simplify right side
    2,543.05x = 4,997,425.79
  5. Step 5: Solve for x
    x = 4,997,425.79/2,543.05
  6. Step 6: Final answer
    x = 1,965.13

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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.