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Finding the Fourth Proportional to 7,802.87, 11,693.95 and 3,415.55

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Solution

The fourth proportional to 7,802.87, 11,693.95 and 3,415.55 is: 5,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.87 : 11,693.95 = 3,415.55 : x
  2. Step 2: Convert to fraction form
    7,802.87/11,693.95 = 3,415.55/x
  3. Step 3: Cross multiply
    7,802.87x = 11,693.95 × 3,415.55
  4. Step 4: Simplify right side
    7,802.87x = 39,941,270.92
  5. Step 5: Solve for x
    x = 39,941,270.92/7,802.87
  6. Step 6: Final answer
    x = 5,118.79

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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.