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Finding the Fourth Proportional to 6,484.64, 8,946.16 and 4,787.20

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Solution

The fourth proportional to 6,484.64, 8,946.16 and 4,787.20 is: 6,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.64 : 8,946.16 = 4,787.20 : x
  2. Step 2: Convert to fraction form
    6,484.64/8,946.16 = 4,787.20/x
  3. Step 3: Cross multiply
    6,484.64x = 8,946.16 × 4,787.20
  4. Step 4: Simplify right side
    6,484.64x = 42,827,057.15
  5. Step 5: Solve for x
    x = 42,827,057.15/6,484.64
  6. Step 6: Final answer
    x = 6,604.38

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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.