Home / 5,681-7,834.74-3,689.66

Finding the Fourth Proportional to 5,681, 7,834.74 and 3,689.66

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Solution

The fourth proportional to 5,681, 7,834.74 and 3,689.66 is: 5,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681 : 7,834.74 = 3,689.66 : x
  2. Step 2: Convert to fraction form
    5,681/7,834.74 = 3,689.66/x
  3. Step 3: Cross multiply
    5,681x = 7,834.74 × 3,689.66
  4. Step 4: Simplify right side
    5,681x = 28,907,526.79
  5. Step 5: Solve for x
    x = 28,907,526.79/5,681
  6. Step 6: Final answer
    x = 5,088.46

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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.