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Finding the Fourth Proportional to 13,478.47, 18,600.47 and 7,813.53

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Solution

The fourth proportional to 13,478.47, 18,600.47 and 7,813.53 is: 10,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.47 : 18,600.47 = 7,813.53 : x
  2. Step 2: Convert to fraction form
    13,478.47/18,600.47 = 7,813.53/x
  3. Step 3: Cross multiply
    13,478.47x = 18,600.47 × 7,813.53
  4. Step 4: Simplify right side
    13,478.47x = 145,335,330.36
  5. Step 5: Solve for x
    x = 145,335,330.36/13,478.47
  6. Step 6: Final answer
    x = 10,782.78

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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.