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Finding the Fourth Proportional to 9,305.79, 13,883.20 and 8,543.75

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Solution

The fourth proportional to 9,305.79, 13,883.20 and 8,543.75 is: 12,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.79 : 13,883.20 = 8,543.75 : x
  2. Step 2: Convert to fraction form
    9,305.79/13,883.20 = 8,543.75/x
  3. Step 3: Cross multiply
    9,305.79x = 13,883.20 × 8,543.75
  4. Step 4: Simplify right side
    9,305.79x = 118,614,499.22
  5. Step 5: Solve for x
    x = 118,614,499.22/9,305.79
  6. Step 6: Final answer
    x = 12,746.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.