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Finding the Fourth Proportional to 31,651.79, 47,477.69 and 8,278.02

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Solution

The fourth proportional to 31,651.79, 47,477.69 and 8,278.02 is: 12,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.79 : 47,477.69 = 8,278.02 : x
  2. Step 2: Convert to fraction form
    31,651.79/47,477.69 = 8,278.02/x
  3. Step 3: Cross multiply
    31,651.79x = 47,477.69 × 8,278.02
  4. Step 4: Simplify right side
    31,651.79x = 393,021,225.98
  5. Step 5: Solve for x
    x = 393,021,225.98/31,651.79
  6. Step 6: Final answer
    x = 12,417.03

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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.