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Finding the Fourth Proportional to 31,374.71, 47,058.62 and 9,188.31

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Solution

The fourth proportional to 31,374.71, 47,058.62 and 9,188.31 is: 13,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.71 : 47,058.62 = 9,188.31 : x
  2. Step 2: Convert to fraction form
    31,374.71/47,058.62 = 9,188.31/x
  3. Step 3: Cross multiply
    31,374.71x = 47,058.62 × 9,188.31
  4. Step 4: Simplify right side
    31,374.71x = 432,389,188.73
  5. Step 5: Solve for x
    x = 432,389,188.73/31,374.71
  6. Step 6: Final answer
    x = 13,781.46

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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.