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Finding the Fourth Proportional to 7,697.40, 11,551.71 and 7,238.13

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Solution

The fourth proportional to 7,697.40, 11,551.71 and 7,238.13 is: 10,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.40 : 11,551.71 = 7,238.13 : x
  2. Step 2: Convert to fraction form
    7,697.40/11,551.71 = 7,238.13/x
  3. Step 3: Cross multiply
    7,697.40x = 11,551.71 × 7,238.13
  4. Step 4: Simplify right side
    7,697.40x = 83,612,762.53
  5. Step 5: Solve for x
    x = 83,612,762.53/7,697.40
  6. Step 6: Final answer
    x = 10,862.47

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1.5x scale

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.