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Finding the Fourth Proportional to 8,642.30, 11,926.17 and 4,813.90

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Solution

The fourth proportional to 8,642.30, 11,926.17 and 4,813.90 is: 6,643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.30 : 11,926.17 = 4,813.90 : x
  2. Step 2: Convert to fraction form
    8,642.30/11,926.17 = 4,813.90/x
  3. Step 3: Cross multiply
    8,642.30x = 11,926.17 × 4,813.90
  4. Step 4: Simplify right side
    8,642.30x = 57,411,359.95
  5. Step 5: Solve for x
    x = 57,411,359.95/8,642.30
  6. Step 6: Final answer
    x = 6,643.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.