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Finding the Fourth Proportional to 7,752, 10,697.49 and 4,215.15

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Solution

The fourth proportional to 7,752, 10,697.49 and 4,215.15 is: 5,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752 : 10,697.49 = 4,215.15 : x
  2. Step 2: Convert to fraction form
    7,752/10,697.49 = 4,215.15/x
  3. Step 3: Cross multiply
    7,752x = 10,697.49 × 4,215.15
  4. Step 4: Simplify right side
    7,752x = 45,091,524.97
  5. Step 5: Solve for x
    x = 45,091,524.97/7,752
  6. Step 6: Final answer
    x = 5,816.76

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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.