Home / 7,742.75-10,685-4,206.02

Finding the Fourth Proportional to 7,742.75, 10,685 and 4,206.02

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Solution

The fourth proportional to 7,742.75, 10,685 and 4,206.02 is: 5,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.75 : 10,685 = 4,206.02 : x
  2. Step 2: Convert to fraction form
    7,742.75/10,685 = 4,206.02/x
  3. Step 3: Cross multiply
    7,742.75x = 10,685 × 4,206.02
  4. Step 4: Simplify right side
    7,742.75x = 44,941,323.70
  5. Step 5: Solve for x
    x = 44,941,323.70/7,742.75
  6. Step 6: Final answer
    x = 5,804.31

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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.