Home / 1,576.94-2,176.07-947.57

Finding the Fourth Proportional to 1,576.94, 2,176.07 and 947.57

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Solution

The fourth proportional to 1,576.94, 2,176.07 and 947.57 is: 1,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.94 : 2,176.07 = 947.57 : x
  2. Step 2: Convert to fraction form
    1,576.94/2,176.07 = 947.57/x
  3. Step 3: Cross multiply
    1,576.94x = 2,176.07 × 947.57
  4. Step 4: Simplify right side
    1,576.94x = 2,061,963.03
  5. Step 5: Solve for x
    x = 2,061,963.03/1,576.94
  6. Step 6: Final answer
    x = 1,307.58

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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.