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Finding the Fourth Proportional to 14,006, 19,328.68 and 7,718.78

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Solution

The fourth proportional to 14,006, 19,328.68 and 7,718.78 is: 10,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 19,328.68 = 7,718.78 : x
  2. Step 2: Convert to fraction form
    14,006/19,328.68 = 7,718.78/x
  3. Step 3: Cross multiply
    14,006x = 19,328.68 × 7,718.78
  4. Step 4: Simplify right side
    14,006x = 149,193,828.61
  5. Step 5: Solve for x
    x = 149,193,828.61/14,006
  6. Step 6: Final answer
    x = 10,652.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.