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Finding the Fourth Proportional to 5,758.51, 7,947 and 3,400.66

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Solution

The fourth proportional to 5,758.51, 7,947 and 3,400.66 is: 4,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.51 : 7,947 = 3,400.66 : x
  2. Step 2: Convert to fraction form
    5,758.51/7,947 = 3,400.66/x
  3. Step 3: Cross multiply
    5,758.51x = 7,947 × 3,400.66
  4. Step 4: Simplify right side
    5,758.51x = 27,025,045.02
  5. Step 5: Solve for x
    x = 27,025,045.02/5,758.51
  6. Step 6: Final answer
    x = 4,693.06

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1.5x scale

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.