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Finding the Fourth Proportional to 21,312, 31,980.96 and 9,000

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Solution

The fourth proportional to 21,312, 31,980.96 and 9,000 is: 13,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312 : 31,980.96 = 9,000 : x
  2. Step 2: Convert to fraction form
    21,312/31,980.96 = 9,000/x
  3. Step 3: Cross multiply
    21,312x = 31,980.96 × 9,000
  4. Step 4: Simplify right side
    21,312x = 287,828,640
  5. Step 5: Solve for x
    x = 287,828,640/21,312
  6. Step 6: Final answer
    x = 13,505.47

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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.