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Finding the Fourth Proportional to 3,646, 5,030.04 and 2,153.62

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Solution

The fourth proportional to 3,646, 5,030.04 and 2,153.62 is: 2,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646 : 5,030.04 = 2,153.62 : x
  2. Step 2: Convert to fraction form
    3,646/5,030.04 = 2,153.62/x
  3. Step 3: Cross multiply
    3,646x = 5,030.04 × 2,153.62
  4. Step 4: Simplify right side
    3,646x = 10,832,794.74
  5. Step 5: Solve for x
    x = 10,832,794.74/3,646
  6. Step 6: Final answer
    x = 2,971.15

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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.