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Finding the Fourth Proportional to 3,362.50, 5,044.56 and 1,054

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Solution

The fourth proportional to 3,362.50, 5,044.56 and 1,054 is: 1,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.50 : 5,044.56 = 1,054 : x
  2. Step 2: Convert to fraction form
    3,362.50/5,044.56 = 1,054/x
  3. Step 3: Cross multiply
    3,362.50x = 5,044.56 × 1,054
  4. Step 4: Simplify right side
    3,362.50x = 5,316,966.24
  5. Step 5: Solve for x
    x = 5,316,966.24/3,362.50
  6. Step 6: Final answer
    x = 1,581.25

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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.