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Finding the Fourth Proportional to 2,681.61, 3,697.17 and 2,307.81

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Solution

The fourth proportional to 2,681.61, 3,697.17 and 2,307.81 is: 3,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.61 : 3,697.17 = 2,307.81 : x
  2. Step 2: Convert to fraction form
    2,681.61/3,697.17 = 2,307.81/x
  3. Step 3: Cross multiply
    2,681.61x = 3,697.17 × 2,307.81
  4. Step 4: Simplify right side
    2,681.61x = 8,532,365.90
  5. Step 5: Solve for x
    x = 8,532,365.90/2,681.61
  6. Step 6: Final answer
    x = 3,181.81

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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.