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Finding the Fourth Proportional to 13,287.84, 18,343.44 and 7,697.76

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Solution

The fourth proportional to 13,287.84, 18,343.44 and 7,697.76 is: 10,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.84 : 18,343.44 = 7,697.76 : x
  2. Step 2: Convert to fraction form
    13,287.84/18,343.44 = 7,697.76/x
  3. Step 3: Cross multiply
    13,287.84x = 18,343.44 × 7,697.76
  4. Step 4: Simplify right side
    13,287.84x = 141,203,398.69
  5. Step 5: Solve for x
    x = 141,203,398.69/13,287.84
  6. Step 6: Final answer
    x = 10,626.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.