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Finding the Fourth Proportional to 23,031, 31,782.78 and 13,095

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Solution

The fourth proportional to 23,031, 31,782.78 and 13,095 is: 18,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031 : 31,782.78 = 13,095 : x
  2. Step 2: Convert to fraction form
    23,031/31,782.78 = 13,095/x
  3. Step 3: Cross multiply
    23,031x = 31,782.78 × 13,095
  4. Step 4: Simplify right side
    23,031x = 416,195,504.10
  5. Step 5: Solve for x
    x = 416,195,504.10/23,031
  6. Step 6: Final answer
    x = 18,071.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.