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Finding the Fourth Proportional to 7,782.81, 10,740.24 and 4,245.99

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Solution

The fourth proportional to 7,782.81, 10,740.24 and 4,245.99 is: 5,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.81 : 10,740.24 = 4,245.99 : x
  2. Step 2: Convert to fraction form
    7,782.81/10,740.24 = 4,245.99/x
  3. Step 3: Cross multiply
    7,782.81x = 10,740.24 × 4,245.99
  4. Step 4: Simplify right side
    7,782.81x = 45,602,951.64
  5. Step 5: Solve for x
    x = 45,602,951.64/7,782.81
  6. Step 6: Final answer
    x = 5,859.45

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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.