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Finding the Fourth Proportional to 1,700.16, 2,550.71 and 1,537.50

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Solution

The fourth proportional to 1,700.16, 2,550.71 and 1,537.50 is: 2,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.16 : 2,550.71 = 1,537.50 : x
  2. Step 2: Convert to fraction form
    1,700.16/2,550.71 = 1,537.50/x
  3. Step 3: Cross multiply
    1,700.16x = 2,550.71 × 1,537.50
  4. Step 4: Simplify right side
    1,700.16x = 3,921,716.63
  5. Step 5: Solve for x
    x = 3,921,716.63/1,700.16
  6. Step 6: Final answer
    x = 2,306.68

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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.