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Finding the Fourth Proportional to 2,802.89, 3,866.10 and 1,740.02

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Solution

The fourth proportional to 2,802.89, 3,866.10 and 1,740.02 is: 2,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.89 : 3,866.10 = 1,740.02 : x
  2. Step 2: Convert to fraction form
    2,802.89/3,866.10 = 1,740.02/x
  3. Step 3: Cross multiply
    2,802.89x = 3,866.10 × 1,740.02
  4. Step 4: Simplify right side
    2,802.89x = 6,727,100.99
  5. Step 5: Solve for x
    x = 6,727,100.99/2,802.89
  6. Step 6: Final answer
    x = 2,400.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.