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Finding the Fourth Proportional to 10,759.68, 14,847.21 and 6,280.20

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Solution

The fourth proportional to 10,759.68, 14,847.21 and 6,280.20 is: 8,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.68 : 14,847.21 = 6,280.20 : x
  2. Step 2: Convert to fraction form
    10,759.68/14,847.21 = 6,280.20/x
  3. Step 3: Cross multiply
    10,759.68x = 14,847.21 × 6,280.20
  4. Step 4: Simplify right side
    10,759.68x = 93,243,448.24
  5. Step 5: Solve for x
    x = 93,243,448.24/10,759.68
  6. Step 6: Final answer
    x = 8,666.01

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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.