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Finding the Fourth Proportional to 7,713.16, 11,569.80 and 1,869.82

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Solution

The fourth proportional to 7,713.16, 11,569.80 and 1,869.82 is: 2,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.16 : 11,569.80 = 1,869.82 : x
  2. Step 2: Convert to fraction form
    7,713.16/11,569.80 = 1,869.82/x
  3. Step 3: Cross multiply
    7,713.16x = 11,569.80 × 1,869.82
  4. Step 4: Simplify right side
    7,713.16x = 21,633,385.59
  5. Step 5: Solve for x
    x = 21,633,385.59/7,713.16
  6. Step 6: Final answer
    x = 2,804.74

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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.