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Finding the Fourth Proportional to 21,098.80, 31,672.08 and 13,312

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Solution

The fourth proportional to 21,098.80, 31,672.08 and 13,312 is: 19,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.80 : 31,672.08 = 13,312 : x
  2. Step 2: Convert to fraction form
    21,098.80/31,672.08 = 13,312/x
  3. Step 3: Cross multiply
    21,098.80x = 31,672.08 × 13,312
  4. Step 4: Simplify right side
    21,098.80x = 421,618,728.96
  5. Step 5: Solve for x
    x = 421,618,728.96/21,098.80
  6. Step 6: Final answer
    x = 19,983.07

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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.