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Finding the Fourth Proportional to 47,100, 64,960.40 and 30,983.87

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Solution

The fourth proportional to 47,100, 64,960.40 and 30,983.87 is: 42,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,100 : 64,960.40 = 30,983.87 : x
  2. Step 2: Convert to fraction form
    47,100/64,960.40 = 30,983.87/x
  3. Step 3: Cross multiply
    47,100x = 64,960.40 × 30,983.87
  4. Step 4: Simplify right side
    47,100x = 2,012,724,588.75
  5. Step 5: Solve for x
    x = 2,012,724,588.75/47,100
  6. Step 6: Final answer
    x = 42,733.01

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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.