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Finding the Fourth Proportional to 2,533.40, 3,800.70 and 802.04

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Solution

The fourth proportional to 2,533.40, 3,800.70 and 802.04 is: 1,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.40 : 3,800.70 = 802.04 : x
  2. Step 2: Convert to fraction form
    2,533.40/3,800.70 = 802.04/x
  3. Step 3: Cross multiply
    2,533.40x = 3,800.70 × 802.04
  4. Step 4: Simplify right side
    2,533.40x = 3,048,313.43
  5. Step 5: Solve for x
    x = 3,048,313.43/2,533.40
  6. Step 6: Final answer
    x = 1,203.25

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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.