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Finding the Fourth Proportional to 9,878.13, 13,631.72 and 5,401.85

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Solution

The fourth proportional to 9,878.13, 13,631.72 and 5,401.85 is: 7,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.13 : 13,631.72 = 5,401.85 : x
  2. Step 2: Convert to fraction form
    9,878.13/13,631.72 = 5,401.85/x
  3. Step 3: Cross multiply
    9,878.13x = 13,631.72 × 5,401.85
  4. Step 4: Simplify right side
    9,878.13x = 73,636,411.51
  5. Step 5: Solve for x
    x = 73,636,411.51/9,878.13
  6. Step 6: Final answer
    x = 7,454.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.