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Finding the Fourth Proportional to 2,642.47, 3,643.29 and 1,696.59

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Solution

The fourth proportional to 2,642.47, 3,643.29 and 1,696.59 is: 2,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.47 : 3,643.29 = 1,696.59 : x
  2. Step 2: Convert to fraction form
    2,642.47/3,643.29 = 1,696.59/x
  3. Step 3: Cross multiply
    2,642.47x = 3,643.29 × 1,696.59
  4. Step 4: Simplify right side
    2,642.47x = 6,181,169.38
  5. Step 5: Solve for x
    x = 6,181,169.38/2,642.47
  6. Step 6: Final answer
    x = 2,339.16

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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.