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Finding the Fourth Proportional to 1,417.92, 2,114.16 and 1,392

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Solution

The fourth proportional to 1,417.92, 2,114.16 and 1,392 is: 2,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.92 : 2,114.16 = 1,392 : x
  2. Step 2: Convert to fraction form
    1,417.92/2,114.16 = 1,392/x
  3. Step 3: Cross multiply
    1,417.92x = 2,114.16 × 1,392
  4. Step 4: Simplify right side
    1,417.92x = 2,942,910.72
  5. Step 5: Solve for x
    x = 2,942,910.72/1,417.92
  6. Step 6: Final answer
    x = 2,075.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.