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Finding the Fourth Proportional to 7,857.42, 10,842.72 and 4,500.26

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Solution

The fourth proportional to 7,857.42, 10,842.72 and 4,500.26 is: 6,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.42 : 10,842.72 = 4,500.26 : x
  2. Step 2: Convert to fraction form
    7,857.42/10,842.72 = 4,500.26/x
  3. Step 3: Cross multiply
    7,857.42x = 10,842.72 × 4,500.26
  4. Step 4: Simplify right side
    7,857.42x = 48,795,059.11
  5. Step 5: Solve for x
    x = 48,795,059.11/7,857.42
  6. Step 6: Final answer
    x = 6,210.06

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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.