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Finding the Fourth Proportional to 3,064.80, 4,597.20 and 1,333.02

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Solution

The fourth proportional to 3,064.80, 4,597.20 and 1,333.02 is: 1,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.80 : 4,597.20 = 1,333.02 : x
  2. Step 2: Convert to fraction form
    3,064.80/4,597.20 = 1,333.02/x
  3. Step 3: Cross multiply
    3,064.80x = 4,597.20 × 1,333.02
  4. Step 4: Simplify right side
    3,064.80x = 6,128,159.54
  5. Step 5: Solve for x
    x = 6,128,159.54/3,064.80
  6. Step 6: Final answer
    x = 1,999.53

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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.