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Finding the Fourth Proportional to 7,886.84, 10,885.09 and 4,743.02

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Solution

The fourth proportional to 7,886.84, 10,885.09 and 4,743.02 is: 6,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.84 : 10,885.09 = 4,743.02 : x
  2. Step 2: Convert to fraction form
    7,886.84/10,885.09 = 4,743.02/x
  3. Step 3: Cross multiply
    7,886.84x = 10,885.09 × 4,743.02
  4. Step 4: Simplify right side
    7,886.84x = 51,628,214.93
  5. Step 5: Solve for x
    x = 51,628,214.93/7,886.84
  6. Step 6: Final answer
    x = 6,546.13

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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.