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Finding the Fourth Proportional to 3,807.36, 5,688 and 3,785.76

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Solution

The fourth proportional to 3,807.36, 5,688 and 3,785.76 is: 5,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.36 : 5,688 = 3,785.76 : x
  2. Step 2: Convert to fraction form
    3,807.36/5,688 = 3,785.76/x
  3. Step 3: Cross multiply
    3,807.36x = 5,688 × 3,785.76
  4. Step 4: Simplify right side
    3,807.36x = 21,533,402.88
  5. Step 5: Solve for x
    x = 21,533,402.88/3,807.36
  6. Step 6: Final answer
    x = 5,655.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.