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Finding the Fourth Proportional to 21,562, 32,343.04 and 6,970

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Solution

The fourth proportional to 21,562, 32,343.04 and 6,970 is: 10,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562 : 32,343.04 = 6,970 : x
  2. Step 2: Convert to fraction form
    21,562/32,343.04 = 6,970/x
  3. Step 3: Cross multiply
    21,562x = 32,343.04 × 6,970
  4. Step 4: Simplify right side
    21,562x = 225,430,988.80
  5. Step 5: Solve for x
    x = 225,430,988.80/21,562
  6. Step 6: Final answer
    x = 10,455.01

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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.