Home / 1,807.23-2,706.51-983.46

Finding the Fourth Proportional to 1,807.23, 2,706.51 and 983.46

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Solution

The fourth proportional to 1,807.23, 2,706.51 and 983.46 is: 1,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.23 : 2,706.51 = 983.46 : x
  2. Step 2: Convert to fraction form
    1,807.23/2,706.51 = 983.46/x
  3. Step 3: Cross multiply
    1,807.23x = 2,706.51 × 983.46
  4. Step 4: Simplify right side
    1,807.23x = 2,661,744.32
  5. Step 5: Solve for x
    x = 2,661,744.32/1,807.23
  6. Step 6: Final answer
    x = 1,472.83

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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.