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Finding the Fourth Proportional to 3,902, 5,387.34 and 2,412.10

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Solution

The fourth proportional to 3,902, 5,387.34 and 2,412.10 is: 3,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902 : 5,387.34 = 2,412.10 : x
  2. Step 2: Convert to fraction form
    3,902/5,387.34 = 2,412.10/x
  3. Step 3: Cross multiply
    3,902x = 5,387.34 × 2,412.10
  4. Step 4: Simplify right side
    3,902x = 12,994,802.81
  5. Step 5: Solve for x
    x = 12,994,802.81/3,902
  6. Step 6: Final answer
    x = 3,330.29

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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.