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Finding the Fourth Proportional to 2,211.77, 3,317.81 and 652.02

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Solution

The fourth proportional to 2,211.77, 3,317.81 and 652.02 is: 978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.77 : 3,317.81 = 652.02 : x
  2. Step 2: Convert to fraction form
    2,211.77/3,317.81 = 652.02/x
  3. Step 3: Cross multiply
    2,211.77x = 3,317.81 × 652.02
  4. Step 4: Simplify right side
    2,211.77x = 2,163,275.22
  5. Step 5: Solve for x
    x = 2,163,275.22/2,211.77
  6. Step 6: Final answer
    x = 978.08

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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.