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Finding the Fourth Proportional to 2,928.86, 4,393.33 and 981.06

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Solution

The fourth proportional to 2,928.86, 4,393.33 and 981.06 is: 1,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.86 : 4,393.33 = 981.06 : x
  2. Step 2: Convert to fraction form
    2,928.86/4,393.33 = 981.06/x
  3. Step 3: Cross multiply
    2,928.86x = 4,393.33 × 981.06
  4. Step 4: Simplify right side
    2,928.86x = 4,310,101.40
  5. Step 5: Solve for x
    x = 4,310,101.40/2,928.86
  6. Step 6: Final answer
    x = 1,471.60

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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.