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Finding the Fourth Proportional to 6,549.84, 9,812.16 and 4,085.64

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Solution

The fourth proportional to 6,549.84, 9,812.16 and 4,085.64 is: 6,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.84 : 9,812.16 = 4,085.64 : x
  2. Step 2: Convert to fraction form
    6,549.84/9,812.16 = 4,085.64/x
  3. Step 3: Cross multiply
    6,549.84x = 9,812.16 × 4,085.64
  4. Step 4: Simplify right side
    6,549.84x = 40,088,953.38
  5. Step 5: Solve for x
    x = 40,088,953.38/6,549.84
  6. Step 6: Final answer
    x = 6,120.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.