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Finding the Fourth Proportional to 7,700.40, 11,548.80 and 2,503.44

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Solution

The fourth proportional to 7,700.40, 11,548.80 and 2,503.44 is: 3,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.40 : 11,548.80 = 2,503.44 : x
  2. Step 2: Convert to fraction form
    7,700.40/11,548.80 = 2,503.44/x
  3. Step 3: Cross multiply
    7,700.40x = 11,548.80 × 2,503.44
  4. Step 4: Simplify right side
    7,700.40x = 28,911,727.87
  5. Step 5: Solve for x
    x = 28,911,727.87/7,700.40
  6. Step 6: Final answer
    x = 3,754.57

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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.