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Finding the Fourth Proportional to 31,345.78, 47,018.78 and 7,972.22

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Solution

The fourth proportional to 31,345.78, 47,018.78 and 7,972.22 is: 11,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,345.78 : 47,018.78 = 7,972.22 : x
  2. Step 2: Convert to fraction form
    31,345.78/47,018.78 = 7,972.22/x
  3. Step 3: Cross multiply
    31,345.78x = 47,018.78 × 7,972.22
  4. Step 4: Simplify right side
    31,345.78x = 374,844,058.29
  5. Step 5: Solve for x
    x = 374,844,058.29/31,345.78
  6. Step 6: Final answer
    x = 11,958.36

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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.