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Finding the Fourth Proportional to 10,757.40, 14,844.78 and 6,281.40

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Solution

The fourth proportional to 10,757.40, 14,844.78 and 6,281.40 is: 8,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.40 : 14,844.78 = 6,281.40 : x
  2. Step 2: Convert to fraction form
    10,757.40/14,844.78 = 6,281.40/x
  3. Step 3: Cross multiply
    10,757.40x = 14,844.78 × 6,281.40
  4. Step 4: Simplify right side
    10,757.40x = 93,246,001.09
  5. Step 5: Solve for x
    x = 93,246,001.09/10,757.40
  6. Step 6: Final answer
    x = 8,668.08

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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.