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Finding the Fourth Proportional to 7,872.08, 10,852.88 and 6,748.16

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Solution

The fourth proportional to 7,872.08, 10,852.88 and 6,748.16 is: 9,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.08 : 10,852.88 = 6,748.16 : x
  2. Step 2: Convert to fraction form
    7,872.08/10,852.88 = 6,748.16/x
  3. Step 3: Cross multiply
    7,872.08x = 10,852.88 × 6,748.16
  4. Step 4: Simplify right side
    7,872.08x = 73,236,970.70
  5. Step 5: Solve for x
    x = 73,236,970.70/7,872.08
  6. Step 6: Final answer
    x = 9,303.38

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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.