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Finding the Fourth Proportional to 7,752.84, 10,680.84 and 5,390.88

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Solution

The fourth proportional to 7,752.84, 10,680.84 and 5,390.88 is: 7,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.84 : 10,680.84 = 5,390.88 : x
  2. Step 2: Convert to fraction form
    7,752.84/10,680.84 = 5,390.88/x
  3. Step 3: Cross multiply
    7,752.84x = 10,680.84 × 5,390.88
  4. Step 4: Simplify right side
    7,752.84x = 57,579,126.74
  5. Step 5: Solve for x
    x = 57,579,126.74/7,752.84
  6. Step 6: Final answer
    x = 7,426.84

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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.