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Finding the Fourth Proportional to 3,689.19, 5,533.63 and 915.80

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Solution

The fourth proportional to 3,689.19, 5,533.63 and 915.80 is: 1,373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.19 : 5,533.63 = 915.80 : x
  2. Step 2: Convert to fraction form
    3,689.19/5,533.63 = 915.80/x
  3. Step 3: Cross multiply
    3,689.19x = 5,533.63 × 915.80
  4. Step 4: Simplify right side
    3,689.19x = 5,067,689.15
  5. Step 5: Solve for x
    x = 5,067,689.15/3,689.19
  6. Step 6: Final answer
    x = 1,373.66

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1.5x scale

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.