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Finding the Fourth Proportional to 5,200.08, 7,798.80 and 1,913.52

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Solution

The fourth proportional to 5,200.08, 7,798.80 and 1,913.52 is: 2,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.08 : 7,798.80 = 1,913.52 : x
  2. Step 2: Convert to fraction form
    5,200.08/7,798.80 = 1,913.52/x
  3. Step 3: Cross multiply
    5,200.08x = 7,798.80 × 1,913.52
  4. Step 4: Simplify right side
    5,200.08x = 14,923,159.78
  5. Step 5: Solve for x
    x = 14,923,159.78/5,200.08
  6. Step 6: Final answer
    x = 2,869.79

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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.