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Finding the Fourth Proportional to 31,758.48, 47,630.77 and 13,020.08

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Solution

The fourth proportional to 31,758.48, 47,630.77 and 13,020.08 is: 19,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.48 : 47,630.77 = 13,020.08 : x
  2. Step 2: Convert to fraction form
    31,758.48/47,630.77 = 13,020.08/x
  3. Step 3: Cross multiply
    31,758.48x = 47,630.77 × 13,020.08
  4. Step 4: Simplify right side
    31,758.48x = 620,156,165.16
  5. Step 5: Solve for x
    x = 620,156,165.16/31,758.48
  6. Step 6: Final answer
    x = 19,527.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.