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Finding the Fourth Proportional to 3,573.45, 5,359.57 and 975.78

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Solution

The fourth proportional to 3,573.45, 5,359.57 and 975.78 is: 1,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.45 : 5,359.57 = 975.78 : x
  2. Step 2: Convert to fraction form
    3,573.45/5,359.57 = 975.78/x
  3. Step 3: Cross multiply
    3,573.45x = 5,359.57 × 975.78
  4. Step 4: Simplify right side
    3,573.45x = 5,229,758.78
  5. Step 5: Solve for x
    x = 5,229,758.78/3,573.45
  6. Step 6: Final answer
    x = 1,463.50

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Double scale
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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.