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Finding the Fourth Proportional to 6,921.76, 9,549.12 and 4,827.10

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Solution

The fourth proportional to 6,921.76, 9,549.12 and 4,827.10 is: 6,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.76 : 9,549.12 = 4,827.10 : x
  2. Step 2: Convert to fraction form
    6,921.76/9,549.12 = 4,827.10/x
  3. Step 3: Cross multiply
    6,921.76x = 9,549.12 × 4,827.10
  4. Step 4: Simplify right side
    6,921.76x = 46,094,557.15
  5. Step 5: Solve for x
    x = 46,094,557.15/6,921.76
  6. Step 6: Final answer
    x = 6,659.37

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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.