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Finding the Fourth Proportional to 31,667.58, 47,501.01 and 12,957.66

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Solution

The fourth proportional to 31,667.58, 47,501.01 and 12,957.66 is: 19,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,667.58 : 47,501.01 = 12,957.66 : x
  2. Step 2: Convert to fraction form
    31,667.58/47,501.01 = 12,957.66/x
  3. Step 3: Cross multiply
    31,667.58x = 47,501.01 × 12,957.66
  4. Step 4: Simplify right side
    31,667.58x = 615,501,937.24
  5. Step 5: Solve for x
    x = 615,501,937.24/31,667.58
  6. Step 6: Final answer
    x = 19,436.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.