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Finding the Fourth Proportional to 10,639, 14,681.82 and 6,446.44

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Solution

The fourth proportional to 10,639, 14,681.82 and 6,446.44 is: 8,896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639 : 14,681.82 = 6,446.44 : x
  2. Step 2: Convert to fraction form
    10,639/14,681.82 = 6,446.44/x
  3. Step 3: Cross multiply
    10,639x = 14,681.82 × 6,446.44
  4. Step 4: Simplify right side
    10,639x = 94,645,471.72
  5. Step 5: Solve for x
    x = 94,645,471.72/10,639
  6. Step 6: Final answer
    x = 8,896.09

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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.