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Finding the Fourth Proportional to 7,220.28, 9,964.65 and 5,709.88

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Solution

The fourth proportional to 7,220.28, 9,964.65 and 5,709.88 is: 7,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.28 : 9,964.65 = 5,709.88 : x
  2. Step 2: Convert to fraction form
    7,220.28/9,964.65 = 5,709.88/x
  3. Step 3: Cross multiply
    7,220.28x = 9,964.65 × 5,709.88
  4. Step 4: Simplify right side
    7,220.28x = 56,896,955.74
  5. Step 5: Solve for x
    x = 56,896,955.74/7,220.28
  6. Step 6: Final answer
    x = 7,880.16

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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.