Home / 1,537.48-2,120.82-947.80

Finding the Fourth Proportional to 1,537.48, 2,120.82 and 947.80

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Solution

The fourth proportional to 1,537.48, 2,120.82 and 947.80 is: 1,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.48 : 2,120.82 = 947.80 : x
  2. Step 2: Convert to fraction form
    1,537.48/2,120.82 = 947.80/x
  3. Step 3: Cross multiply
    1,537.48x = 2,120.82 × 947.80
  4. Step 4: Simplify right side
    1,537.48x = 2,010,113.20
  5. Step 5: Solve for x
    x = 2,010,113.20/1,537.48
  6. Step 6: Final answer
    x = 1,307.41

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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.