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Finding the Fourth Proportional to 8,782.61, 12,120 and 4,803.72

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Solution

The fourth proportional to 8,782.61, 12,120 and 4,803.72 is: 6,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.61 : 12,120 = 4,803.72 : x
  2. Step 2: Convert to fraction form
    8,782.61/12,120 = 4,803.72/x
  3. Step 3: Cross multiply
    8,782.61x = 12,120 × 4,803.72
  4. Step 4: Simplify right side
    8,782.61x = 58,221,086.40
  5. Step 5: Solve for x
    x = 58,221,086.40/8,782.61
  6. Step 6: Final answer
    x = 6,629.14

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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.