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Finding the Fourth Proportional to 7,748.99, 10,693.16 and 4,212.17

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Solution

The fourth proportional to 7,748.99, 10,693.16 and 4,212.17 is: 5,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.99 : 10,693.16 = 4,212.17 : x
  2. Step 2: Convert to fraction form
    7,748.99/10,693.16 = 4,212.17/x
  3. Step 3: Cross multiply
    7,748.99x = 10,693.16 × 4,212.17
  4. Step 4: Simplify right side
    7,748.99x = 45,041,333.23
  5. Step 5: Solve for x
    x = 45,041,333.23/7,748.99
  6. Step 6: Final answer
    x = 5,812.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.