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Finding the Fourth Proportional to 9,291.84, 13,937.76 and 3,816

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Solution

The fourth proportional to 9,291.84, 13,937.76 and 3,816 is: 5,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.84 : 13,937.76 = 3,816 : x
  2. Step 2: Convert to fraction form
    9,291.84/13,937.76 = 3,816/x
  3. Step 3: Cross multiply
    9,291.84x = 13,937.76 × 3,816
  4. Step 4: Simplify right side
    9,291.84x = 53,186,492.16
  5. Step 5: Solve for x
    x = 53,186,492.16/9,291.84
  6. Step 6: Final answer
    x = 5,724

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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.