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Finding the Fourth Proportional to 2,802.40, 4,203.69 and 854.60

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Solution

The fourth proportional to 2,802.40, 4,203.69 and 854.60 is: 1,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.40 : 4,203.69 = 854.60 : x
  2. Step 2: Convert to fraction form
    2,802.40/4,203.69 = 854.60/x
  3. Step 3: Cross multiply
    2,802.40x = 4,203.69 × 854.60
  4. Step 4: Simplify right side
    2,802.40x = 3,592,473.47
  5. Step 5: Solve for x
    x = 3,592,473.47/2,802.40
  6. Step 6: Final answer
    x = 1,281.93

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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.