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Finding the Fourth Proportional to 3,157, 4,356.66 and 1,759.72

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Solution

The fourth proportional to 3,157, 4,356.66 and 1,759.72 is: 2,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157 : 4,356.66 = 1,759.72 : x
  2. Step 2: Convert to fraction form
    3,157/4,356.66 = 1,759.72/x
  3. Step 3: Cross multiply
    3,157x = 4,356.66 × 1,759.72
  4. Step 4: Simplify right side
    3,157x = 7,666,501.74
  5. Step 5: Solve for x
    x = 7,666,501.74/3,157
  6. Step 6: Final answer
    x = 2,428.41

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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.