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Finding the Fourth Proportional to 2,989, 4,124.84 and 1,810.08

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Solution

The fourth proportional to 2,989, 4,124.84 and 1,810.08 is: 2,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989 : 4,124.84 = 1,810.08 : x
  2. Step 2: Convert to fraction form
    2,989/4,124.84 = 1,810.08/x
  3. Step 3: Cross multiply
    2,989x = 4,124.84 × 1,810.08
  4. Step 4: Simplify right side
    2,989x = 7,466,290.39
  5. Step 5: Solve for x
    x = 7,466,290.39/2,989
  6. Step 6: Final answer
    x = 2,497.92

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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.