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Finding the Fourth Proportional to 31,886.44, 47,830.02 and 9,700

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Solution

The fourth proportional to 31,886.44, 47,830.02 and 9,700 is: 14,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,886.44 : 47,830.02 = 9,700 : x
  2. Step 2: Convert to fraction form
    31,886.44/47,830.02 = 9,700/x
  3. Step 3: Cross multiply
    31,886.44x = 47,830.02 × 9,700
  4. Step 4: Simplify right side
    31,886.44x = 463,951,194.00
  5. Step 5: Solve for x
    x = 463,951,194.00/31,886.44
  6. Step 6: Final answer
    x = 14,550.11

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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.