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Finding the Fourth Proportional to 1,711.26, 2,362.50 and 1,048.50

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Solution

The fourth proportional to 1,711.26, 2,362.50 and 1,048.50 is: 1,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.26 : 2,362.50 = 1,048.50 : x
  2. Step 2: Convert to fraction form
    1,711.26/2,362.50 = 1,048.50/x
  3. Step 3: Cross multiply
    1,711.26x = 2,362.50 × 1,048.50
  4. Step 4: Simplify right side
    1,711.26x = 2,477,081.25
  5. Step 5: Solve for x
    x = 2,477,081.25/1,711.26
  6. Step 6: Final answer
    x = 1,447.52

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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.