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Finding the Fourth Proportional to 1,410.95, 2,117.34 and 762.14

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Solution

The fourth proportional to 1,410.95, 2,117.34 and 762.14 is: 1,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.95 : 2,117.34 = 762.14 : x
  2. Step 2: Convert to fraction form
    1,410.95/2,117.34 = 762.14/x
  3. Step 3: Cross multiply
    1,410.95x = 2,117.34 × 762.14
  4. Step 4: Simplify right side
    1,410.95x = 1,613,709.51
  5. Step 5: Solve for x
    x = 1,613,709.51/1,410.95
  6. Step 6: Final answer
    x = 1,143.70

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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.