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Finding the Fourth Proportional to 5,608.71, 8,412.97 and 1,913.51

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Solution

The fourth proportional to 5,608.71, 8,412.97 and 1,913.51 is: 2,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.71 : 8,412.97 = 1,913.51 : x
  2. Step 2: Convert to fraction form
    5,608.71/8,412.97 = 1,913.51/x
  3. Step 3: Cross multiply
    5,608.71x = 8,412.97 × 1,913.51
  4. Step 4: Simplify right side
    5,608.71x = 16,098,302.22
  5. Step 5: Solve for x
    x = 16,098,302.22/5,608.71
  6. Step 6: Final answer
    x = 2,870.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.