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Finding the Fourth Proportional to 14,659.50, 21,989.25 and 6,451.50

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Solution

The fourth proportional to 14,659.50, 21,989.25 and 6,451.50 is: 9,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,659.50 : 21,989.25 = 6,451.50 : x
  2. Step 2: Convert to fraction form
    14,659.50/21,989.25 = 6,451.50/x
  3. Step 3: Cross multiply
    14,659.50x = 21,989.25 × 6,451.50
  4. Step 4: Simplify right side
    14,659.50x = 141,863,646.38
  5. Step 5: Solve for x
    x = 141,863,646.38/14,659.50
  6. Step 6: Final answer
    x = 9,677.25

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1.5x scale

Why These Related Problems?

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