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Finding the Fourth Proportional to 6,486.30, 8,946.32 and 4,807.78

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Solution

The fourth proportional to 6,486.30, 8,946.32 and 4,807.78 is: 6,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.30 : 8,946.32 = 4,807.78 : x
  2. Step 2: Convert to fraction form
    6,486.30/8,946.32 = 4,807.78/x
  3. Step 3: Cross multiply
    6,486.30x = 8,946.32 × 4,807.78
  4. Step 4: Simplify right side
    6,486.30x = 43,011,891.96
  5. Step 5: Solve for x
    x = 43,011,891.96/6,486.30
  6. Step 6: Final answer
    x = 6,631.19

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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.