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Finding the Fourth Proportional to 21,010, 31,515 and 8,698.32

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Solution

The fourth proportional to 21,010, 31,515 and 8,698.32 is: 13,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010 : 31,515 = 8,698.32 : x
  2. Step 2: Convert to fraction form
    21,010/31,515 = 8,698.32/x
  3. Step 3: Cross multiply
    21,010x = 31,515 × 8,698.32
  4. Step 4: Simplify right side
    21,010x = 274,127,554.80
  5. Step 5: Solve for x
    x = 274,127,554.80/21,010
  6. Step 6: Final answer
    x = 13,047.48

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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.