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Finding the Fourth Proportional to 3,435, 4,740.48 and 2,018.76

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Solution

The fourth proportional to 3,435, 4,740.48 and 2,018.76 is: 2,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435 : 4,740.48 = 2,018.76 : x
  2. Step 2: Convert to fraction form
    3,435/4,740.48 = 2,018.76/x
  3. Step 3: Cross multiply
    3,435x = 4,740.48 × 2,018.76
  4. Step 4: Simplify right side
    3,435x = 9,569,891.40
  5. Step 5: Solve for x
    x = 9,569,891.40/3,435
  6. Step 6: Final answer
    x = 2,785.99

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.