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Finding the Fourth Proportional to 1,657.70, 2,317.90 and 1,657.70

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Solution

The fourth proportional to 1,657.70, 2,317.90 and 1,657.70 is: 2,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.70 : 2,317.90 = 1,657.70 : x
  2. Step 2: Convert to fraction form
    1,657.70/2,317.90 = 1,657.70/x
  3. Step 3: Cross multiply
    1,657.70x = 2,317.90 × 1,657.70
  4. Step 4: Simplify right side
    1,657.70x = 3,842,382.83
  5. Step 5: Solve for x
    x = 3,842,382.83/1,657.70
  6. Step 6: Final answer
    x = 2,317.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.