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Finding the Fourth Proportional to 31,806.50, 47,709.77 and 9,918.50

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Solution

The fourth proportional to 31,806.50, 47,709.77 and 9,918.50 is: 14,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.50 : 47,709.77 = 9,918.50 : x
  2. Step 2: Convert to fraction form
    31,806.50/47,709.77 = 9,918.50/x
  3. Step 3: Cross multiply
    31,806.50x = 47,709.77 × 9,918.50
  4. Step 4: Simplify right side
    31,806.50x = 473,209,353.75
  5. Step 5: Solve for x
    x = 473,209,353.75/31,806.50
  6. Step 6: Final answer
    x = 14,877.76

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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.