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Finding the Fourth Proportional to 8,749.76, 12,088.86 and 7,797.20

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Solution

The fourth proportional to 8,749.76, 12,088.86 and 7,797.20 is: 10,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.76 : 12,088.86 = 7,797.20 : x
  2. Step 2: Convert to fraction form
    8,749.76/12,088.86 = 7,797.20/x
  3. Step 3: Cross multiply
    8,749.76x = 12,088.86 × 7,797.20
  4. Step 4: Simplify right side
    8,749.76x = 94,259,259.19
  5. Step 5: Solve for x
    x = 94,259,259.19/8,749.76
  6. Step 6: Final answer
    x = 10,772.78

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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.