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Finding the Fourth Proportional to 13,478.47, 20,228.28 and 9,347.47

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Solution

The fourth proportional to 13,478.47, 20,228.28 and 9,347.47 is: 14,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.47 : 20,228.28 = 9,347.47 : x
  2. Step 2: Convert to fraction form
    13,478.47/20,228.28 = 9,347.47/x
  3. Step 3: Cross multiply
    13,478.47x = 20,228.28 × 9,347.47
  4. Step 4: Simplify right side
    13,478.47x = 189,083,139.31
  5. Step 5: Solve for x
    x = 189,083,139.31/13,478.47
  6. Step 6: Final answer
    x = 14,028.54

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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.