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Finding the Fourth Proportional to 7,784.71, 10,745.19 and 4,429.40

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Solution

The fourth proportional to 7,784.71, 10,745.19 and 4,429.40 is: 6,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.71 : 10,745.19 = 4,429.40 : x
  2. Step 2: Convert to fraction form
    7,784.71/10,745.19 = 4,429.40/x
  3. Step 3: Cross multiply
    7,784.71x = 10,745.19 × 4,429.40
  4. Step 4: Simplify right side
    7,784.71x = 47,594,744.59
  5. Step 5: Solve for x
    x = 47,594,744.59/7,784.71
  6. Step 6: Final answer
    x = 6,113.88

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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.