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Finding the Fourth Proportional to 7,758.52, 11,637.74 and 3,315.52

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Solution

The fourth proportional to 7,758.52, 11,637.74 and 3,315.52 is: 4,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.52 : 11,637.74 = 3,315.52 : x
  2. Step 2: Convert to fraction form
    7,758.52/11,637.74 = 3,315.52/x
  3. Step 3: Cross multiply
    7,758.52x = 11,637.74 × 3,315.52
  4. Step 4: Simplify right side
    7,758.52x = 38,585,159.72
  5. Step 5: Solve for x
    x = 38,585,159.72/7,758.52
  6. Step 6: Final answer
    x = 4,973.26

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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.