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Finding the Fourth Proportional to 3,135, 4,326.30 and 1,737.84

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Solution

The fourth proportional to 3,135, 4,326.30 and 1,737.84 is: 2,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135 : 4,326.30 = 1,737.84 : x
  2. Step 2: Convert to fraction form
    3,135/4,326.30 = 1,737.84/x
  3. Step 3: Cross multiply
    3,135x = 4,326.30 × 1,737.84
  4. Step 4: Simplify right side
    3,135x = 7,518,417.19
  5. Step 5: Solve for x
    x = 7,518,417.19/3,135
  6. Step 6: Final answer
    x = 2,398.22

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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.