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Finding the Fourth Proportional to 7,940.64, 10,946.16 and 5,282.40

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Solution

The fourth proportional to 7,940.64, 10,946.16 and 5,282.40 is: 7,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.64 : 10,946.16 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    7,940.64/10,946.16 = 5,282.40/x
  3. Step 3: Cross multiply
    7,940.64x = 10,946.16 × 5,282.40
  4. Step 4: Simplify right side
    7,940.64x = 57,821,995.58
  5. Step 5: Solve for x
    x = 57,821,995.58/7,940.64
  6. Step 6: Final answer
    x = 7,281.78

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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.