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Finding the Fourth Proportional to 1,506.19, 2,077.53 and 982.21

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Solution

The fourth proportional to 1,506.19, 2,077.53 and 982.21 is: 1,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.19 : 2,077.53 = 982.21 : x
  2. Step 2: Convert to fraction form
    1,506.19/2,077.53 = 982.21/x
  3. Step 3: Cross multiply
    1,506.19x = 2,077.53 × 982.21
  4. Step 4: Simplify right side
    1,506.19x = 2,040,570.74
  5. Step 5: Solve for x
    x = 2,040,570.74/1,506.19
  6. Step 6: Final answer
    x = 1,354.79

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1.5x scale

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.