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Finding the Fourth Proportional to 31,706.50, 47,507.80 and 19,230.57

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Solution

The fourth proportional to 31,706.50, 47,507.80 and 19,230.57 is: 28,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.50 : 47,507.80 = 19,230.57 : x
  2. Step 2: Convert to fraction form
    31,706.50/47,507.80 = 19,230.57/x
  3. Step 3: Cross multiply
    31,706.50x = 47,507.80 × 19,230.57
  4. Step 4: Simplify right side
    31,706.50x = 913,602,144.14
  5. Step 5: Solve for x
    x = 913,602,144.14/31,706.50
  6. Step 6: Final answer
    x = 28,814.35

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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.