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Finding the Fourth Proportional to 19,471.54, 29,207.32 and 5,431

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Solution

The fourth proportional to 19,471.54, 29,207.32 and 5,431 is: 8,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.54 : 29,207.32 = 5,431 : x
  2. Step 2: Convert to fraction form
    19,471.54/29,207.32 = 5,431/x
  3. Step 3: Cross multiply
    19,471.54x = 29,207.32 × 5,431
  4. Step 4: Simplify right side
    19,471.54x = 158,624,954.92
  5. Step 5: Solve for x
    x = 158,624,954.92/19,471.54
  6. Step 6: Final answer
    x = 8,146.50

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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.