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Finding the Fourth Proportional to 7,857, 10,836.18 and 4,707.72

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Solution

The fourth proportional to 7,857, 10,836.18 and 4,707.72 is: 6,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 10,836.18 = 4,707.72 : x
  2. Step 2: Convert to fraction form
    7,857/10,836.18 = 4,707.72/x
  3. Step 3: Cross multiply
    7,857x = 10,836.18 × 4,707.72
  4. Step 4: Simplify right side
    7,857x = 51,013,701.31
  5. Step 5: Solve for x
    x = 51,013,701.31/7,857
  6. Step 6: Final answer
    x = 6,492.77

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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.