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Finding the Fourth Proportional to 9,821.13, 13,552.97 and 5,345.07

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Solution

The fourth proportional to 9,821.13, 13,552.97 and 5,345.07 is: 7,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.13 : 13,552.97 = 5,345.07 : x
  2. Step 2: Convert to fraction form
    9,821.13/13,552.97 = 5,345.07/x
  3. Step 3: Cross multiply
    9,821.13x = 13,552.97 × 5,345.07
  4. Step 4: Simplify right side
    9,821.13x = 72,441,546.63
  5. Step 5: Solve for x
    x = 72,441,546.63/9,821.13
  6. Step 6: Final answer
    x = 7,376.09

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1.5x scale

Why These Related Problems?

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