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Finding the Fourth Proportional to 31,889.64, 47,830.62 and 18,570.12

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Solution

The fourth proportional to 31,889.64, 47,830.62 and 18,570.12 is: 27,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.64 : 47,830.62 = 18,570.12 : x
  2. Step 2: Convert to fraction form
    31,889.64/47,830.62 = 18,570.12/x
  3. Step 3: Cross multiply
    31,889.64x = 47,830.62 × 18,570.12
  4. Step 4: Simplify right side
    31,889.64x = 888,220,353.07
  5. Step 5: Solve for x
    x = 888,220,353.07/31,889.64
  6. Step 6: Final answer
    x = 27,852.94

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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.