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Finding the Fourth Proportional to 13,683.62, 18,883.02 and 7,715.24

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Solution

The fourth proportional to 13,683.62, 18,883.02 and 7,715.24 is: 10,646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.62 : 18,883.02 = 7,715.24 : x
  2. Step 2: Convert to fraction form
    13,683.62/18,883.02 = 7,715.24/x
  3. Step 3: Cross multiply
    13,683.62x = 18,883.02 × 7,715.24
  4. Step 4: Simplify right side
    13,683.62x = 145,687,031.22
  5. Step 5: Solve for x
    x = 145,687,031.22/13,683.62
  6. Step 6: Final answer
    x = 10,646.82

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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.