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Finding the Fourth Proportional to 2,287.78, 3,430.50 and 1,054.12

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Solution

The fourth proportional to 2,287.78, 3,430.50 and 1,054.12 is: 1,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.78 : 3,430.50 = 1,054.12 : x
  2. Step 2: Convert to fraction form
    2,287.78/3,430.50 = 1,054.12/x
  3. Step 3: Cross multiply
    2,287.78x = 3,430.50 × 1,054.12
  4. Step 4: Simplify right side
    2,287.78x = 3,616,158.66
  5. Step 5: Solve for x
    x = 3,616,158.66/2,287.78
  6. Step 6: Final answer
    x = 1,580.64

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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.