Home / 31,723-47,584.50-9,835

Finding the Fourth Proportional to 31,723, 47,584.50 and 9,835

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Solution

The fourth proportional to 31,723, 47,584.50 and 9,835 is: 14,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,723 : 47,584.50 = 9,835 : x
  2. Step 2: Convert to fraction form
    31,723/47,584.50 = 9,835/x
  3. Step 3: Cross multiply
    31,723x = 47,584.50 × 9,835
  4. Step 4: Simplify right side
    31,723x = 467,993,557.50
  5. Step 5: Solve for x
    x = 467,993,557.50/31,723
  6. Step 6: Final answer
    x = 14,752.50

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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.