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Finding the Fourth Proportional to 9,772.68, 13,479.16 and 8,430.87

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Solution

The fourth proportional to 9,772.68, 13,479.16 and 8,430.87 is: 11,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.68 : 13,479.16 = 8,430.87 : x
  2. Step 2: Convert to fraction form
    9,772.68/13,479.16 = 8,430.87/x
  3. Step 3: Cross multiply
    9,772.68x = 13,479.16 × 8,430.87
  4. Step 4: Simplify right side
    9,772.68x = 113,641,015.13
  5. Step 5: Solve for x
    x = 113,641,015.13/9,772.68
  6. Step 6: Final answer
    x = 11,628.43

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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.