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Finding the Fourth Proportional to 2,928.40, 4,041.11 and 1,602.11

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Solution

The fourth proportional to 2,928.40, 4,041.11 and 1,602.11 is: 2,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.40 : 4,041.11 = 1,602.11 : x
  2. Step 2: Convert to fraction form
    2,928.40/4,041.11 = 1,602.11/x
  3. Step 3: Cross multiply
    2,928.40x = 4,041.11 × 1,602.11
  4. Step 4: Simplify right side
    2,928.40x = 6,474,316.85
  5. Step 5: Solve for x
    x = 6,474,316.85/2,928.40
  6. Step 6: Final answer
    x = 2,210.87

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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.