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Finding the Fourth Proportional to 7,775.07, 10,729.71 and 4,789.21

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Solution

The fourth proportional to 7,775.07, 10,729.71 and 4,789.21 is: 6,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.07 : 10,729.71 = 4,789.21 : x
  2. Step 2: Convert to fraction form
    7,775.07/10,729.71 = 4,789.21/x
  3. Step 3: Cross multiply
    7,775.07x = 10,729.71 × 4,789.21
  4. Step 4: Simplify right side
    7,775.07x = 51,386,807.60
  5. Step 5: Solve for x
    x = 51,386,807.60/7,775.07
  6. Step 6: Final answer
    x = 6,609.18

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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.