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Finding the Fourth Proportional to 31,509.51, 47,247.86 and 9,319.89

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Solution

The fourth proportional to 31,509.51, 47,247.86 and 9,319.89 is: 13,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.51 : 47,247.86 = 9,319.89 : x
  2. Step 2: Convert to fraction form
    31,509.51/47,247.86 = 9,319.89/x
  3. Step 3: Cross multiply
    31,509.51x = 47,247.86 × 9,319.89
  4. Step 4: Simplify right side
    31,509.51x = 440,344,969.82
  5. Step 5: Solve for x
    x = 440,344,969.82/31,509.51
  6. Step 6: Final answer
    x = 13,974.99

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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.