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Finding the Fourth Proportional to 14,113.92, 19,476.54 and 7,740.66

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Solution

The fourth proportional to 14,113.92, 19,476.54 and 7,740.66 is: 10,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.92 : 19,476.54 = 7,740.66 : x
  2. Step 2: Convert to fraction form
    14,113.92/19,476.54 = 7,740.66/x
  3. Step 3: Cross multiply
    14,113.92x = 19,476.54 × 7,740.66
  4. Step 4: Simplify right side
    14,113.92x = 150,761,274.12
  5. Step 5: Solve for x
    x = 150,761,274.12/14,113.92
  6. Step 6: Final answer
    x = 10,681.74

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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.