Home / 1,496.27-2,065.20-971.39

Finding the Fourth Proportional to 1,496.27, 2,065.20 and 971.39

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Solution

The fourth proportional to 1,496.27, 2,065.20 and 971.39 is: 1,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.27 : 2,065.20 = 971.39 : x
  2. Step 2: Convert to fraction form
    1,496.27/2,065.20 = 971.39/x
  3. Step 3: Cross multiply
    1,496.27x = 2,065.20 × 971.39
  4. Step 4: Simplify right side
    1,496.27x = 2,006,119.79
  5. Step 5: Solve for x
    x = 2,006,119.79/1,496.27
  6. Step 6: Final answer
    x = 1,340.74

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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.