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Finding the Fourth Proportional to 25,785.41, 38,678.13 and 7,065.63

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Solution

The fourth proportional to 25,785.41, 38,678.13 and 7,065.63 is: 10,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.41 : 38,678.13 = 7,065.63 : x
  2. Step 2: Convert to fraction form
    25,785.41/38,678.13 = 7,065.63/x
  3. Step 3: Cross multiply
    25,785.41x = 38,678.13 × 7,065.63
  4. Step 4: Simplify right side
    25,785.41x = 273,285,355.67
  5. Step 5: Solve for x
    x = 273,285,355.67/25,785.41
  6. Step 6: Final answer
    x = 10,598.45

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Similar ratio
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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.