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Finding the Fourth Proportional to 2,189.49, 3,285.74 and 802.95

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Solution

The fourth proportional to 2,189.49, 3,285.74 and 802.95 is: 1,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.49 : 3,285.74 = 802.95 : x
  2. Step 2: Convert to fraction form
    2,189.49/3,285.74 = 802.95/x
  3. Step 3: Cross multiply
    2,189.49x = 3,285.74 × 802.95
  4. Step 4: Simplify right side
    2,189.49x = 2,638,284.93
  5. Step 5: Solve for x
    x = 2,638,284.93/2,189.49
  6. Step 6: Final answer
    x = 1,204.98

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1.5x scale

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.