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Finding the Fourth Proportional to 1,266.63, 1,904.19 and 1,009.86

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Solution

The fourth proportional to 1,266.63, 1,904.19 and 1,009.86 is: 1,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.63 : 1,904.19 = 1,009.86 : x
  2. Step 2: Convert to fraction form
    1,266.63/1,904.19 = 1,009.86/x
  3. Step 3: Cross multiply
    1,266.63x = 1,904.19 × 1,009.86
  4. Step 4: Simplify right side
    1,266.63x = 1,922,965.31
  5. Step 5: Solve for x
    x = 1,922,965.31/1,266.63
  6. Step 6: Final answer
    x = 1,518.17

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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.