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Finding the Fourth Proportional to 1,550.76, 2,334.48 and 1,392

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Solution

The fourth proportional to 1,550.76, 2,334.48 and 1,392 is: 2,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.76 : 2,334.48 = 1,392 : x
  2. Step 2: Convert to fraction form
    1,550.76/2,334.48 = 1,392/x
  3. Step 3: Cross multiply
    1,550.76x = 2,334.48 × 1,392
  4. Step 4: Simplify right side
    1,550.76x = 3,249,596.16
  5. Step 5: Solve for x
    x = 3,249,596.16/1,550.76
  6. Step 6: Final answer
    x = 2,095.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.