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Finding the Fourth Proportional to 7,782.03, 10,739.20 and 4,424.76

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Solution

The fourth proportional to 7,782.03, 10,739.20 and 4,424.76 is: 6,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.03 : 10,739.20 = 4,424.76 : x
  2. Step 2: Convert to fraction form
    7,782.03/10,739.20 = 4,424.76/x
  3. Step 3: Cross multiply
    7,782.03x = 10,739.20 × 4,424.76
  4. Step 4: Simplify right side
    7,782.03x = 47,518,382.59
  5. Step 5: Solve for x
    x = 47,518,382.59/7,782.03
  6. Step 6: Final answer
    x = 6,106.17

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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.