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Finding the Fourth Proportional to 21,160.98, 31,756.08 and 7,309.98

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Solution

The fourth proportional to 21,160.98, 31,756.08 and 7,309.98 is: 10,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.98 : 31,756.08 = 7,309.98 : x
  2. Step 2: Convert to fraction form
    21,160.98/31,756.08 = 7,309.98/x
  3. Step 3: Cross multiply
    21,160.98x = 31,756.08 × 7,309.98
  4. Step 4: Simplify right side
    21,160.98x = 232,136,309.68
  5. Step 5: Solve for x
    x = 232,136,309.68/21,160.98
  6. Step 6: Final answer
    x = 10,970.02

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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.