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Finding the Fourth Proportional to 7,711.41, 11,567.07 and 1,868.02

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Solution

The fourth proportional to 7,711.41, 11,567.07 and 1,868.02 is: 2,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.41 : 11,567.07 = 1,868.02 : x
  2. Step 2: Convert to fraction form
    7,711.41/11,567.07 = 1,868.02/x
  3. Step 3: Cross multiply
    7,711.41x = 11,567.07 × 1,868.02
  4. Step 4: Simplify right side
    7,711.41x = 21,607,518.10
  5. Step 5: Solve for x
    x = 21,607,518.10/7,711.41
  6. Step 6: Final answer
    x = 2,802.02

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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.