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Finding the Fourth Proportional to 9,902, 13,664.76 and 5,486

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Solution

The fourth proportional to 9,902, 13,664.76 and 5,486 is: 7,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902 : 13,664.76 = 5,486 : x
  2. Step 2: Convert to fraction form
    9,902/13,664.76 = 5,486/x
  3. Step 3: Cross multiply
    9,902x = 13,664.76 × 5,486
  4. Step 4: Simplify right side
    9,902x = 74,964,873.36
  5. Step 5: Solve for x
    x = 74,964,873.36/9,902
  6. Step 6: Final answer
    x = 7,570.68

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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.