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Finding the Fourth Proportional to 7,700.68, 11,551.02 and 3,315.43

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Solution

The fourth proportional to 7,700.68, 11,551.02 and 3,315.43 is: 4,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.68 : 11,551.02 = 3,315.43 : x
  2. Step 2: Convert to fraction form
    7,700.68/11,551.02 = 3,315.43/x
  3. Step 3: Cross multiply
    7,700.68x = 11,551.02 × 3,315.43
  4. Step 4: Simplify right side
    7,700.68x = 38,296,598.24
  5. Step 5: Solve for x
    x = 38,296,598.24/7,700.68
  6. Step 6: Final answer
    x = 4,973.15

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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.