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Finding the Fourth Proportional to 6,535.90, 9,787.65 and 5,239.90

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Solution

The fourth proportional to 6,535.90, 9,787.65 and 5,239.90 is: 7,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.90 : 9,787.65 = 5,239.90 : x
  2. Step 2: Convert to fraction form
    6,535.90/9,787.65 = 5,239.90/x
  3. Step 3: Cross multiply
    6,535.90x = 9,787.65 × 5,239.90
  4. Step 4: Simplify right side
    6,535.90x = 51,286,307.24
  5. Step 5: Solve for x
    x = 51,286,307.24/6,535.90
  6. Step 6: Final answer
    x = 7,846.86

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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.