Home / 1,544.49-2,131.26-947.31

Finding the Fourth Proportional to 1,544.49, 2,131.26 and 947.31

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Solution

The fourth proportional to 1,544.49, 2,131.26 and 947.31 is: 1,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.49 : 2,131.26 = 947.31 : x
  2. Step 2: Convert to fraction form
    1,544.49/2,131.26 = 947.31/x
  3. Step 3: Cross multiply
    1,544.49x = 2,131.26 × 947.31
  4. Step 4: Simplify right side
    1,544.49x = 2,018,963.91
  5. Step 5: Solve for x
    x = 2,018,963.91/1,544.49
  6. Step 6: Final answer
    x = 1,307.20

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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.