Home / 1,585.10-2,187.58-922.20

Finding the Fourth Proportional to 1,585.10, 2,187.58 and 922.20

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Solution

The fourth proportional to 1,585.10, 2,187.58 and 922.20 is: 1,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.10 : 2,187.58 = 922.20 : x
  2. Step 2: Convert to fraction form
    1,585.10/2,187.58 = 922.20/x
  3. Step 3: Cross multiply
    1,585.10x = 2,187.58 × 922.20
  4. Step 4: Simplify right side
    1,585.10x = 2,017,386.28
  5. Step 5: Solve for x
    x = 2,017,386.28/1,585.10
  6. Step 6: Final answer
    x = 1,272.72

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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.