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Finding the Fourth Proportional to 7,711.79, 11,567.69 and 1,868.38

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Solution

The fourth proportional to 7,711.79, 11,567.69 and 1,868.38 is: 2,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.79 : 11,567.69 = 1,868.38 : x
  2. Step 2: Convert to fraction form
    7,711.79/11,567.69 = 1,868.38/x
  3. Step 3: Cross multiply
    7,711.79x = 11,567.69 × 1,868.38
  4. Step 4: Simplify right side
    7,711.79x = 21,612,809.39
  5. Step 5: Solve for x
    x = 21,612,809.39/7,711.79
  6. Step 6: Final answer
    x = 2,802.57

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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.