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Finding the Fourth Proportional to 8,263.95, 12,395.95 and 5,809.75

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Solution

The fourth proportional to 8,263.95, 12,395.95 and 5,809.75 is: 8,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.95 : 12,395.95 = 5,809.75 : x
  2. Step 2: Convert to fraction form
    8,263.95/12,395.95 = 5,809.75/x
  3. Step 3: Cross multiply
    8,263.95x = 12,395.95 × 5,809.75
  4. Step 4: Simplify right side
    8,263.95x = 72,017,370.51
  5. Step 5: Solve for x
    x = 72,017,370.51/8,263.95
  6. Step 6: Final answer
    x = 8,714.64

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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.