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Finding the Fourth Proportional to 25,785.51, 38,678.28 and 7,065.71

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Solution

The fourth proportional to 25,785.51, 38,678.28 and 7,065.71 is: 10,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.51 : 38,678.28 = 7,065.71 : x
  2. Step 2: Convert to fraction form
    25,785.51/38,678.28 = 7,065.71/x
  3. Step 3: Cross multiply
    25,785.51x = 38,678.28 × 7,065.71
  4. Step 4: Simplify right side
    25,785.51x = 273,289,316.39
  5. Step 5: Solve for x
    x = 273,289,316.39/25,785.51
  6. Step 6: Final answer
    x = 10,598.56

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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.