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Finding the Fourth Proportional to 10,284.40, 15,387.60 and 6,828.40

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Solution

The fourth proportional to 10,284.40, 15,387.60 and 6,828.40 is: 10,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.40 : 15,387.60 = 6,828.40 : x
  2. Step 2: Convert to fraction form
    10,284.40/15,387.60 = 6,828.40/x
  3. Step 3: Cross multiply
    10,284.40x = 15,387.60 × 6,828.40
  4. Step 4: Simplify right side
    10,284.40x = 105,072,687.84
  5. Step 5: Solve for x
    x = 105,072,687.84/10,284.40
  6. Step 6: Final answer
    x = 10,216.71

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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.