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Finding the Fourth Proportional to 7,200.87, 10,782.95 and 5,742.15

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Solution

The fourth proportional to 7,200.87, 10,782.95 and 5,742.15 is: 8,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.87 : 10,782.95 = 5,742.15 : x
  2. Step 2: Convert to fraction form
    7,200.87/10,782.95 = 5,742.15/x
  3. Step 3: Cross multiply
    7,200.87x = 10,782.95 × 5,742.15
  4. Step 4: Simplify right side
    7,200.87x = 61,917,287.63
  5. Step 5: Solve for x
    x = 61,917,287.63/7,200.87
  6. Step 6: Final answer
    x = 8,598.58

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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.