Home / 1,537.02-2,306.07-1,307.66

Finding the Fourth Proportional to 1,537.02, 2,306.07 and 1,307.66

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Solution

The fourth proportional to 1,537.02, 2,306.07 and 1,307.66 is: 1,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.02 : 2,306.07 = 1,307.66 : x
  2. Step 2: Convert to fraction form
    1,537.02/2,306.07 = 1,307.66/x
  3. Step 3: Cross multiply
    1,537.02x = 2,306.07 × 1,307.66
  4. Step 4: Simplify right side
    1,537.02x = 3,015,543.97
  5. Step 5: Solve for x
    x = 3,015,543.97/1,537.02
  6. Step 6: Final answer
    x = 1,961.94

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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.