Home / 7,842.07-10,822.14-4,305.20

Finding the Fourth Proportional to 7,842.07, 10,822.14 and 4,305.20

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Solution

The fourth proportional to 7,842.07, 10,822.14 and 4,305.20 is: 5,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.07 : 10,822.14 = 4,305.20 : x
  2. Step 2: Convert to fraction form
    7,842.07/10,822.14 = 4,305.20/x
  3. Step 3: Cross multiply
    7,842.07x = 10,822.14 × 4,305.20
  4. Step 4: Simplify right side
    7,842.07x = 46,591,477.13
  5. Step 5: Solve for x
    x = 46,591,477.13/7,842.07
  6. Step 6: Final answer
    x = 5,941.23

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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.