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Finding the Fourth Proportional to 3,528, 4,870.85 and 2,271.24

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Solution

The fourth proportional to 3,528, 4,870.85 and 2,271.24 is: 3,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528 : 4,870.85 = 2,271.24 : x
  2. Step 2: Convert to fraction form
    3,528/4,870.85 = 2,271.24/x
  3. Step 3: Cross multiply
    3,528x = 4,870.85 × 2,271.24
  4. Step 4: Simplify right side
    3,528x = 11,062,858.00
  5. Step 5: Solve for x
    x = 11,062,858.00/3,528
  6. Step 6: Final answer
    x = 3,135.73

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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.