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Finding the Fourth Proportional to 9,760, 14,640.21 and 3,520.51

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Solution

The fourth proportional to 9,760, 14,640.21 and 3,520.51 is: 5,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760 : 14,640.21 = 3,520.51 : x
  2. Step 2: Convert to fraction form
    9,760/14,640.21 = 3,520.51/x
  3. Step 3: Cross multiply
    9,760x = 14,640.21 × 3,520.51
  4. Step 4: Simplify right side
    9,760x = 51,541,005.71
  5. Step 5: Solve for x
    x = 51,541,005.71/9,760
  6. Step 6: Final answer
    x = 5,280.84

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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.