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Finding the Fourth Proportional to 21,068.44, 31,602.65 and 6,276.98

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Solution

The fourth proportional to 21,068.44, 31,602.65 and 6,276.98 is: 9,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,068.44 : 31,602.65 = 6,276.98 : x
  2. Step 2: Convert to fraction form
    21,068.44/31,602.65 = 6,276.98/x
  3. Step 3: Cross multiply
    21,068.44x = 31,602.65 × 6,276.98
  4. Step 4: Simplify right side
    21,068.44x = 198,369,028.29
  5. Step 5: Solve for x
    x = 198,369,028.29/21,068.44
  6. Step 6: Final answer
    x = 9,415.46

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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.