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Finding the Fourth Proportional to 5,155.84, 7,733.68 and 1,260.16

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Solution

The fourth proportional to 5,155.84, 7,733.68 and 1,260.16 is: 1,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.84 : 7,733.68 = 1,260.16 : x
  2. Step 2: Convert to fraction form
    5,155.84/7,733.68 = 1,260.16/x
  3. Step 3: Cross multiply
    5,155.84x = 7,733.68 × 1,260.16
  4. Step 4: Simplify right side
    5,155.84x = 9,745,674.19
  5. Step 5: Solve for x
    x = 9,745,674.19/5,155.84
  6. Step 6: Final answer
    x = 1,890.22

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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.