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Finding the Fourth Proportional to 7,857.58, 11,791.76 and 2,931.16

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Solution

The fourth proportional to 7,857.58, 11,791.76 and 2,931.16 is: 4,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.58 : 11,791.76 = 2,931.16 : x
  2. Step 2: Convert to fraction form
    7,857.58/11,791.76 = 2,931.16/x
  3. Step 3: Cross multiply
    7,857.58x = 11,791.76 × 2,931.16
  4. Step 4: Simplify right side
    7,857.58x = 34,563,535.24
  5. Step 5: Solve for x
    x = 34,563,535.24/7,857.58
  6. Step 6: Final answer
    x = 4,398.75

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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.