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Finding the Fourth Proportional to 31,590.65, 47,384.48 and 7,898.36

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Solution

The fourth proportional to 31,590.65, 47,384.48 and 7,898.36 is: 11,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.65 : 47,384.48 = 7,898.36 : x
  2. Step 2: Convert to fraction form
    31,590.65/47,384.48 = 7,898.36/x
  3. Step 3: Cross multiply
    31,590.65x = 47,384.48 × 7,898.36
  4. Step 4: Simplify right side
    31,590.65x = 374,259,464.28
  5. Step 5: Solve for x
    x = 374,259,464.28/31,590.65
  6. Step 6: Final answer
    x = 11,847.16

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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.