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Finding the Fourth Proportional to 9,248.35, 13,878.45 and 3,404.50

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Solution

The fourth proportional to 9,248.35, 13,878.45 and 3,404.50 is: 5,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.35 : 13,878.45 = 3,404.50 : x
  2. Step 2: Convert to fraction form
    9,248.35/13,878.45 = 3,404.50/x
  3. Step 3: Cross multiply
    9,248.35x = 13,878.45 × 3,404.50
  4. Step 4: Simplify right side
    9,248.35x = 47,249,183.03
  5. Step 5: Solve for x
    x = 47,249,183.03/9,248.35
  6. Step 6: Final answer
    x = 5,108.93

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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.