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Finding the Fourth Proportional to 12,707.02, 19,077.98 and 6,471.22

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Solution

The fourth proportional to 12,707.02, 19,077.98 and 6,471.22 is: 9,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.02 : 19,077.98 = 6,471.22 : x
  2. Step 2: Convert to fraction form
    12,707.02/19,077.98 = 6,471.22/x
  3. Step 3: Cross multiply
    12,707.02x = 19,077.98 × 6,471.22
  4. Step 4: Simplify right side
    12,707.02x = 123,457,805.74
  5. Step 5: Solve for x
    x = 123,457,805.74/12,707.02
  6. Step 6: Final answer
    x = 9,715.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.