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Finding the Fourth Proportional to 5,155.76, 7,733.64 and 1,260.16

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Solution

The fourth proportional to 5,155.76, 7,733.64 and 1,260.16 is: 1,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.76 : 7,733.64 = 1,260.16 : x
  2. Step 2: Convert to fraction form
    5,155.76/7,733.64 = 1,260.16/x
  3. Step 3: Cross multiply
    5,155.76x = 7,733.64 × 1,260.16
  4. Step 4: Simplify right side
    5,155.76x = 9,745,623.78
  5. Step 5: Solve for x
    x = 9,745,623.78/5,155.76
  6. Step 6: Final answer
    x = 1,890.24

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Similar ratio
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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.