Home / 2,046-2,824.20-1,425.36

Finding the Fourth Proportional to 2,046, 2,824.20 and 1,425.36

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Solution

The fourth proportional to 2,046, 2,824.20 and 1,425.36 is: 1,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 2,824.20 = 1,425.36 : x
  2. Step 2: Convert to fraction form
    2,046/2,824.20 = 1,425.36/x
  3. Step 3: Cross multiply
    2,046x = 2,824.20 × 1,425.36
  4. Step 4: Simplify right side
    2,046x = 4,025,501.71
  5. Step 5: Solve for x
    x = 4,025,501.71/2,046
  6. Step 6: Final answer
    x = 1,967.50

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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.