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Finding the Fourth Proportional to 25,830.48, 38,747.40 and 8,300.40

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Solution

The fourth proportional to 25,830.48, 38,747.40 and 8,300.40 is: 12,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.48 : 38,747.40 = 8,300.40 : x
  2. Step 2: Convert to fraction form
    25,830.48/38,747.40 = 8,300.40/x
  3. Step 3: Cross multiply
    25,830.48x = 38,747.40 × 8,300.40
  4. Step 4: Simplify right side
    25,830.48x = 321,618,918.96
  5. Step 5: Solve for x
    x = 321,618,918.96/25,830.48
  6. Step 6: Final answer
    x = 12,451.14

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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.