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Finding the Fourth Proportional to 8,699.64, 13,049.32 and 2,856.16

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Solution

The fourth proportional to 8,699.64, 13,049.32 and 2,856.16 is: 4,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.64 : 13,049.32 = 2,856.16 : x
  2. Step 2: Convert to fraction form
    8,699.64/13,049.32 = 2,856.16/x
  3. Step 3: Cross multiply
    8,699.64x = 13,049.32 × 2,856.16
  4. Step 4: Simplify right side
    8,699.64x = 37,270,945.81
  5. Step 5: Solve for x
    x = 37,270,945.81/8,699.64
  6. Step 6: Final answer
    x = 4,284.19

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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.