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Finding the Fourth Proportional to 9,712.75, 13,403.61 and 5,521

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Solution

The fourth proportional to 9,712.75, 13,403.61 and 5,521 is: 7,618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.75 : 13,403.61 = 5,521 : x
  2. Step 2: Convert to fraction form
    9,712.75/13,403.61 = 5,521/x
  3. Step 3: Cross multiply
    9,712.75x = 13,403.61 × 5,521
  4. Step 4: Simplify right side
    9,712.75x = 74,001,330.81
  5. Step 5: Solve for x
    x = 74,001,330.81/9,712.75
  6. Step 6: Final answer
    x = 7,618.99

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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.