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Finding the Fourth Proportional to 7,700.70, 11,551.04 and 1,857.32

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Solution

The fourth proportional to 7,700.70, 11,551.04 and 1,857.32 is: 2,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.70 : 11,551.04 = 1,857.32 : x
  2. Step 2: Convert to fraction form
    7,700.70/11,551.04 = 1,857.32/x
  3. Step 3: Cross multiply
    7,700.70x = 11,551.04 × 1,857.32
  4. Step 4: Simplify right side
    7,700.70x = 21,453,977.61
  5. Step 5: Solve for x
    x = 21,453,977.61/7,700.70
  6. Step 6: Final answer
    x = 2,785.98

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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.