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Finding the Fourth Proportional to 5,242.33, 7,859.89 and 1,953.64

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Solution

The fourth proportional to 5,242.33, 7,859.89 and 1,953.64 is: 2,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.33 : 7,859.89 = 1,953.64 : x
  2. Step 2: Convert to fraction form
    5,242.33/7,859.89 = 1,953.64/x
  3. Step 3: Cross multiply
    5,242.33x = 7,859.89 × 1,953.64
  4. Step 4: Simplify right side
    5,242.33x = 15,355,395.50
  5. Step 5: Solve for x
    x = 15,355,395.50/5,242.33
  6. Step 6: Final answer
    x = 2,929.12

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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.