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Finding the Fourth Proportional to 31,357.76, 47,038.08 and 7,984.40

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Solution

The fourth proportional to 31,357.76, 47,038.08 and 7,984.40 is: 11,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.76 : 47,038.08 = 7,984.40 : x
  2. Step 2: Convert to fraction form
    31,357.76/47,038.08 = 7,984.40/x
  3. Step 3: Cross multiply
    31,357.76x = 47,038.08 × 7,984.40
  4. Step 4: Simplify right side
    31,357.76x = 375,570,845.95
  5. Step 5: Solve for x
    x = 375,570,845.95/31,357.76
  6. Step 6: Final answer
    x = 11,976.97

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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.