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Finding the Fourth Proportional to 3,368, 5,051.98 and 869.20

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Solution

The fourth proportional to 3,368, 5,051.98 and 869.20 is: 1,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368 : 5,051.98 = 869.20 : x
  2. Step 2: Convert to fraction form
    3,368/5,051.98 = 869.20/x
  3. Step 3: Cross multiply
    3,368x = 5,051.98 × 869.20
  4. Step 4: Simplify right side
    3,368x = 4,391,181.02
  5. Step 5: Solve for x
    x = 4,391,181.02/3,368
  6. Step 6: Final answer
    x = 1,303.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.