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Finding the Fourth Proportional to 6,281.28, 8,657.28 and 4,706.64

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Solution

The fourth proportional to 6,281.28, 8,657.28 and 4,706.64 is: 6,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.28 : 8,657.28 = 4,706.64 : x
  2. Step 2: Convert to fraction form
    6,281.28/8,657.28 = 4,706.64/x
  3. Step 3: Cross multiply
    6,281.28x = 8,657.28 × 4,706.64
  4. Step 4: Simplify right side
    6,281.28x = 40,746,700.34
  5. Step 5: Solve for x
    x = 40,746,700.34/6,281.28
  6. Step 6: Final answer
    x = 6,487.01

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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.