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Finding the Fourth Proportional to 10,775.61, 14,865.44 and 7,786.71

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Solution

The fourth proportional to 10,775.61, 14,865.44 and 7,786.71 is: 10,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.61 : 14,865.44 = 7,786.71 : x
  2. Step 2: Convert to fraction form
    10,775.61/14,865.44 = 7,786.71/x
  3. Step 3: Cross multiply
    10,775.61x = 14,865.44 × 7,786.71
  4. Step 4: Simplify right side
    10,775.61x = 115,752,831.37
  5. Step 5: Solve for x
    x = 115,752,831.37/10,775.61
  6. Step 6: Final answer
    x = 10,742.11

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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.