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Finding the Fourth Proportional to 7,862.81, 11,786.72 and 2,931.12

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Solution

The fourth proportional to 7,862.81, 11,786.72 and 2,931.12 is: 4,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.81 : 11,786.72 = 2,931.12 : x
  2. Step 2: Convert to fraction form
    7,862.81/11,786.72 = 2,931.12/x
  3. Step 3: Cross multiply
    7,862.81x = 11,786.72 × 2,931.12
  4. Step 4: Simplify right side
    7,862.81x = 34,548,276.07
  5. Step 5: Solve for x
    x = 34,548,276.07/7,862.81
  6. Step 6: Final answer
    x = 4,393.89

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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.