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Finding the Fourth Proportional to 25,312.44, 37,965.32 and 7,780.80

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Solution

The fourth proportional to 25,312.44, 37,965.32 and 7,780.80 is: 11,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.44 : 37,965.32 = 7,780.80 : x
  2. Step 2: Convert to fraction form
    25,312.44/37,965.32 = 7,780.80/x
  3. Step 3: Cross multiply
    25,312.44x = 37,965.32 × 7,780.80
  4. Step 4: Simplify right side
    25,312.44x = 295,400,561.86
  5. Step 5: Solve for x
    x = 295,400,561.86/25,312.44
  6. Step 6: Final answer
    x = 11,670.17

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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.