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Finding the Fourth Proportional to 10,342.66, 15,507.50 and 6,828.94

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Solution

The fourth proportional to 10,342.66, 15,507.50 and 6,828.94 is: 10,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.66 : 15,507.50 = 6,828.94 : x
  2. Step 2: Convert to fraction form
    10,342.66/15,507.50 = 6,828.94/x
  3. Step 3: Cross multiply
    10,342.66x = 15,507.50 × 6,828.94
  4. Step 4: Simplify right side
    10,342.66x = 105,899,787.05
  5. Step 5: Solve for x
    x = 105,899,787.05/10,342.66
  6. Step 6: Final answer
    x = 10,239.12

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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.