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Finding the Fourth Proportional to 14,681.97, 20,259.75 and 8,309.14

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Solution

The fourth proportional to 14,681.97, 20,259.75 and 8,309.14 is: 11,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.97 : 20,259.75 = 8,309.14 : x
  2. Step 2: Convert to fraction form
    14,681.97/20,259.75 = 8,309.14/x
  3. Step 3: Cross multiply
    14,681.97x = 20,259.75 × 8,309.14
  4. Step 4: Simplify right side
    14,681.97x = 168,341,099.12
  5. Step 5: Solve for x
    x = 168,341,099.12/14,681.97
  6. Step 6: Final answer
    x = 11,465.84

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1.5x scale

Why These Related Problems?

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