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Finding the Fourth Proportional to 5,242.68, 7,855.86 and 1,954.89

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Solution

The fourth proportional to 5,242.68, 7,855.86 and 1,954.89 is: 2,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.68 : 7,855.86 = 1,954.89 : x
  2. Step 2: Convert to fraction form
    5,242.68/7,855.86 = 1,954.89/x
  3. Step 3: Cross multiply
    5,242.68x = 7,855.86 × 1,954.89
  4. Step 4: Simplify right side
    5,242.68x = 15,357,342.16
  5. Step 5: Solve for x
    x = 15,357,342.16/5,242.68
  6. Step 6: Final answer
    x = 2,929.29

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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.