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Finding the Fourth Proportional to 3,267.57, 4,901.35 and 802.40

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Solution

The fourth proportional to 3,267.57, 4,901.35 and 802.40 is: 1,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.57 : 4,901.35 = 802.40 : x
  2. Step 2: Convert to fraction form
    3,267.57/4,901.35 = 802.40/x
  3. Step 3: Cross multiply
    3,267.57x = 4,901.35 × 802.40
  4. Step 4: Simplify right side
    3,267.57x = 3,932,843.24
  5. Step 5: Solve for x
    x = 3,932,843.24/3,267.57
  6. Step 6: Final answer
    x = 1,203.60

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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.