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Finding the Fourth Proportional to 1,392.85, 1,922.51 and 950.66

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Solution

The fourth proportional to 1,392.85, 1,922.51 and 950.66 is: 1,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.85 : 1,922.51 = 950.66 : x
  2. Step 2: Convert to fraction form
    1,392.85/1,922.51 = 950.66/x
  3. Step 3: Cross multiply
    1,392.85x = 1,922.51 × 950.66
  4. Step 4: Simplify right side
    1,392.85x = 1,827,656.06
  5. Step 5: Solve for x
    x = 1,827,656.06/1,392.85
  6. Step 6: Final answer
    x = 1,312.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.