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Finding the Fourth Proportional to 10,805.81, 14,913.20 and 6,269.48

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Solution

The fourth proportional to 10,805.81, 14,913.20 and 6,269.48 is: 8,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.81 : 14,913.20 = 6,269.48 : x
  2. Step 2: Convert to fraction form
    10,805.81/14,913.20 = 6,269.48/x
  3. Step 3: Cross multiply
    10,805.81x = 14,913.20 × 6,269.48
  4. Step 4: Simplify right side
    10,805.81x = 93,498,054.79
  5. Step 5: Solve for x
    x = 93,498,054.79/10,805.81
  6. Step 6: Final answer
    x = 8,652.58

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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.