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Finding the Fourth Proportional to 2,565, 3,536.46 and 1,681.02

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Solution

The fourth proportional to 2,565, 3,536.46 and 1,681.02 is: 2,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 3,536.46 = 1,681.02 : x
  2. Step 2: Convert to fraction form
    2,565/3,536.46 = 1,681.02/x
  3. Step 3: Cross multiply
    2,565x = 3,536.46 × 1,681.02
  4. Step 4: Simplify right side
    2,565x = 5,944,859.99
  5. Step 5: Solve for x
    x = 5,944,859.99/2,565
  6. Step 6: Final answer
    x = 2,317.68

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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.