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Finding the Fourth Proportional to 8,310.47, 11,468.54 and 4,955.20

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Solution

The fourth proportional to 8,310.47, 11,468.54 and 4,955.20 is: 6,838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.47 : 11,468.54 = 4,955.20 : x
  2. Step 2: Convert to fraction form
    8,310.47/11,468.54 = 4,955.20/x
  3. Step 3: Cross multiply
    8,310.47x = 11,468.54 × 4,955.20
  4. Step 4: Simplify right side
    8,310.47x = 56,828,893.12
  5. Step 5: Solve for x
    x = 56,828,893.12/8,310.47
  6. Step 6: Final answer
    x = 6,838.23

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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.