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Finding the Fourth Proportional to 1,717.58, 2,369.62 and 1,009.46

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Solution

The fourth proportional to 1,717.58, 2,369.62 and 1,009.46 is: 1,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.58 : 2,369.62 = 1,009.46 : x
  2. Step 2: Convert to fraction form
    1,717.58/2,369.62 = 1,009.46/x
  3. Step 3: Cross multiply
    1,717.58x = 2,369.62 × 1,009.46
  4. Step 4: Simplify right side
    1,717.58x = 2,392,043.79
  5. Step 5: Solve for x
    x = 2,392,043.79/1,717.58
  6. Step 6: Final answer
    x = 1,392.68

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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.