Home / 1,433.10-2,149.65-857.10

Finding the Fourth Proportional to 1,433.10, 2,149.65 and 857.10

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Solution

The fourth proportional to 1,433.10, 2,149.65 and 857.10 is: 1,285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.10 : 2,149.65 = 857.10 : x
  2. Step 2: Convert to fraction form
    1,433.10/2,149.65 = 857.10/x
  3. Step 3: Cross multiply
    1,433.10x = 2,149.65 × 857.10
  4. Step 4: Simplify right side
    1,433.10x = 1,842,465.02
  5. Step 5: Solve for x
    x = 1,842,465.02/1,433.10
  6. Step 6: Final answer
    x = 1,285.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.