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Finding the Fourth Proportional to 3,098.86, 4,640.33 and 1,710.65

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Solution

The fourth proportional to 3,098.86, 4,640.33 and 1,710.65 is: 2,561.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.86 : 4,640.33 = 1,710.65 : x
  2. Step 2: Convert to fraction form
    3,098.86/4,640.33 = 1,710.65/x
  3. Step 3: Cross multiply
    3,098.86x = 4,640.33 × 1,710.65
  4. Step 4: Simplify right side
    3,098.86x = 7,937,980.51
  5. Step 5: Solve for x
    x = 7,937,980.51/3,098.86
  6. Step 6: Final answer
    x = 2,561.58

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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.