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Finding the Fourth Proportional to 8,291.58, 12,406.38 and 4,947.66

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Solution

The fourth proportional to 8,291.58, 12,406.38 and 4,947.66 is: 7,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.58 : 12,406.38 = 4,947.66 : x
  2. Step 2: Convert to fraction form
    8,291.58/12,406.38 = 4,947.66/x
  3. Step 3: Cross multiply
    8,291.58x = 12,406.38 × 4,947.66
  4. Step 4: Simplify right side
    8,291.58x = 61,382,550.07
  5. Step 5: Solve for x
    x = 61,382,550.07/8,291.58
  6. Step 6: Final answer
    x = 7,403.00

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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.