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Finding the Fourth Proportional to 10,709, 14,787.54 and 6,736.76

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Solution

The fourth proportional to 10,709, 14,787.54 and 6,736.76 is: 9,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709 : 14,787.54 = 6,736.76 : x
  2. Step 2: Convert to fraction form
    10,709/14,787.54 = 6,736.76/x
  3. Step 3: Cross multiply
    10,709x = 14,787.54 × 6,736.76
  4. Step 4: Simplify right side
    10,709x = 99,620,107.97
  5. Step 5: Solve for x
    x = 99,620,107.97/10,709
  6. Step 6: Final answer
    x = 9,302.47

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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.