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Finding the Fourth Proportional to 31,335.88, 47,003.16 and 7,643.50

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Solution

The fourth proportional to 31,335.88, 47,003.16 and 7,643.50 is: 11,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,335.88 : 47,003.16 = 7,643.50 : x
  2. Step 2: Convert to fraction form
    31,335.88/47,003.16 = 7,643.50/x
  3. Step 3: Cross multiply
    31,335.88x = 47,003.16 × 7,643.50
  4. Step 4: Simplify right side
    31,335.88x = 359,268,653.46
  5. Step 5: Solve for x
    x = 359,268,653.46/31,335.88
  6. Step 6: Final answer
    x = 11,465.09

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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.