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Finding the Fourth Proportional to 3,158.65, 4,737.98 and 1,698.49

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Solution

The fourth proportional to 3,158.65, 4,737.98 and 1,698.49 is: 2,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.65 : 4,737.98 = 1,698.49 : x
  2. Step 2: Convert to fraction form
    3,158.65/4,737.98 = 1,698.49/x
  3. Step 3: Cross multiply
    3,158.65x = 4,737.98 × 1,698.49
  4. Step 4: Simplify right side
    3,158.65x = 8,047,411.65
  5. Step 5: Solve for x
    x = 8,047,411.65/3,158.65
  6. Step 6: Final answer
    x = 2,547.74

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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.