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Finding the Fourth Proportional to 21,098.40, 31,649.40 and 5,516

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Solution

The fourth proportional to 21,098.40, 31,649.40 and 5,516 is: 8,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.40 : 31,649.40 = 5,516 : x
  2. Step 2: Convert to fraction form
    21,098.40/31,649.40 = 5,516/x
  3. Step 3: Cross multiply
    21,098.40x = 31,649.40 × 5,516
  4. Step 4: Simplify right side
    21,098.40x = 174,578,090.40
  5. Step 5: Solve for x
    x = 174,578,090.40/21,098.40
  6. Step 6: Final answer
    x = 8,274.47

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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.