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Finding the Fourth Proportional to 8,533.76, 12,798.05 and 2,986.07

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Solution

The fourth proportional to 8,533.76, 12,798.05 and 2,986.07 is: 4,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.76 : 12,798.05 = 2,986.07 : x
  2. Step 2: Convert to fraction form
    8,533.76/12,798.05 = 2,986.07/x
  3. Step 3: Cross multiply
    8,533.76x = 12,798.05 × 2,986.07
  4. Step 4: Simplify right side
    8,533.76x = 38,215,873.16
  5. Step 5: Solve for x
    x = 38,215,873.16/8,533.76
  6. Step 6: Final answer
    x = 4,478.20

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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.