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Finding the Fourth Proportional to 31,647.68, 47,478.72 and 16,848.80

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Solution

The fourth proportional to 31,647.68, 47,478.72 and 16,848.80 is: 25,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.68 : 47,478.72 = 16,848.80 : x
  2. Step 2: Convert to fraction form
    31,647.68/47,478.72 = 16,848.80/x
  3. Step 3: Cross multiply
    31,647.68x = 47,478.72 × 16,848.80
  4. Step 4: Simplify right side
    31,647.68x = 799,959,457.54
  5. Step 5: Solve for x
    x = 799,959,457.54/31,647.68
  6. Step 6: Final answer
    x = 25,277.03

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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.