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Finding the Fourth Proportional to 7,857.84, 10,839.30 and 4,712.20

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Solution

The fourth proportional to 7,857.84, 10,839.30 and 4,712.20 is: 6,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.84 : 10,839.30 = 4,712.20 : x
  2. Step 2: Convert to fraction form
    7,857.84/10,839.30 = 4,712.20/x
  3. Step 3: Cross multiply
    7,857.84x = 10,839.30 × 4,712.20
  4. Step 4: Simplify right side
    7,857.84x = 51,076,949.46
  5. Step 5: Solve for x
    x = 51,076,949.46/7,857.84
  6. Step 6: Final answer
    x = 6,500.13

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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.