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Finding the Fourth Proportional to 1,572.14, 2,356.59 and 842.60

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Solution

The fourth proportional to 1,572.14, 2,356.59 and 842.60 is: 1,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.14 : 2,356.59 = 842.60 : x
  2. Step 2: Convert to fraction form
    1,572.14/2,356.59 = 842.60/x
  3. Step 3: Cross multiply
    1,572.14x = 2,356.59 × 842.60
  4. Step 4: Simplify right side
    1,572.14x = 1,985,662.73
  5. Step 5: Solve for x
    x = 1,985,662.73/1,572.14
  6. Step 6: Final answer
    x = 1,263.03

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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.