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Finding the Fourth Proportional to 10,228.40, 15,335.40 and 4,684.40

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Solution

The fourth proportional to 10,228.40, 15,335.40 and 4,684.40 is: 7,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.40 : 15,335.40 = 4,684.40 : x
  2. Step 2: Convert to fraction form
    10,228.40/15,335.40 = 4,684.40/x
  3. Step 3: Cross multiply
    10,228.40x = 15,335.40 × 4,684.40
  4. Step 4: Simplify right side
    10,228.40x = 71,837,147.76
  5. Step 5: Solve for x
    x = 71,837,147.76/10,228.40
  6. Step 6: Final answer
    x = 7,023.30

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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.