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Finding the Fourth Proportional to 8,642.00, 11,925.77 and 4,813.54

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Solution

The fourth proportional to 8,642.00, 11,925.77 and 4,813.54 is: 6,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.00 : 11,925.77 = 4,813.54 : x
  2. Step 2: Convert to fraction form
    8,642.00/11,925.77 = 4,813.54/x
  3. Step 3: Cross multiply
    8,642.00x = 11,925.77 × 4,813.54
  4. Step 4: Simplify right side
    8,642.00x = 57,405,117.04
  5. Step 5: Solve for x
    x = 57,405,117.04/8,642.00
  6. Step 6: Final answer
    x = 6,642.57

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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.