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Finding the Fourth Proportional to 21,068.76, 31,577.94 and 9,368.76

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Solution

The fourth proportional to 21,068.76, 31,577.94 and 9,368.76 is: 14,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,068.76 : 31,577.94 = 9,368.76 : x
  2. Step 2: Convert to fraction form
    21,068.76/31,577.94 = 9,368.76/x
  3. Step 3: Cross multiply
    21,068.76x = 31,577.94 × 9,368.76
  4. Step 4: Simplify right side
    21,068.76x = 295,846,141.15
  5. Step 5: Solve for x
    x = 295,846,141.15/21,068.76
  6. Step 6: Final answer
    x = 14,041.93

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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.