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Finding the Fourth Proportional to 7,681.78, 11,527.14 and 3,239.17

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Solution

The fourth proportional to 7,681.78, 11,527.14 and 3,239.17 is: 4,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.78 : 11,527.14 = 3,239.17 : x
  2. Step 2: Convert to fraction form
    7,681.78/11,527.14 = 3,239.17/x
  3. Step 3: Cross multiply
    7,681.78x = 11,527.14 × 3,239.17
  4. Step 4: Simplify right side
    7,681.78x = 37,338,337.26
  5. Step 5: Solve for x
    x = 37,338,337.26/7,681.78
  6. Step 6: Final answer
    x = 4,860.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.