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Finding the Fourth Proportional to 25,362.64, 38,043.68 and 7,830.48

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Solution

The fourth proportional to 25,362.64, 38,043.68 and 7,830.48 is: 11,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362.64 : 38,043.68 = 7,830.48 : x
  2. Step 2: Convert to fraction form
    25,362.64/38,043.68 = 7,830.48/x
  3. Step 3: Cross multiply
    25,362.64x = 38,043.68 × 7,830.48
  4. Step 4: Simplify right side
    25,362.64x = 297,900,275.37
  5. Step 5: Solve for x
    x = 297,900,275.37/25,362.64
  6. Step 6: Final answer
    x = 11,745.63

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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.