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Finding the Fourth Proportional to 2,854.50, 4,282 and 802.50

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Solution

The fourth proportional to 2,854.50, 4,282 and 802.50 is: 1,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.50 : 4,282 = 802.50 : x
  2. Step 2: Convert to fraction form
    2,854.50/4,282 = 802.50/x
  3. Step 3: Cross multiply
    2,854.50x = 4,282 × 802.50
  4. Step 4: Simplify right side
    2,854.50x = 3,436,305
  5. Step 5: Solve for x
    x = 3,436,305/2,854.50
  6. Step 6: Final answer
    x = 1,203.82

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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.