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Finding the Fourth Proportional to 5,200.30, 7,800.99 and 1,913.37

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Solution

The fourth proportional to 5,200.30, 7,800.99 and 1,913.37 is: 2,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.30 : 7,800.99 = 1,913.37 : x
  2. Step 2: Convert to fraction form
    5,200.30/7,800.99 = 1,913.37/x
  3. Step 3: Cross multiply
    5,200.30x = 7,800.99 × 1,913.37
  4. Step 4: Simplify right side
    5,200.30x = 14,926,180.24
  5. Step 5: Solve for x
    x = 14,926,180.24/5,200.30
  6. Step 6: Final answer
    x = 2,870.25

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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.