Home / 1,582.29-2,182.65-919.06

Finding the Fourth Proportional to 1,582.29, 2,182.65 and 919.06

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Solution

The fourth proportional to 1,582.29, 2,182.65 and 919.06 is: 1,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.29 : 2,182.65 = 919.06 : x
  2. Step 2: Convert to fraction form
    1,582.29/2,182.65 = 919.06/x
  3. Step 3: Cross multiply
    1,582.29x = 2,182.65 × 919.06
  4. Step 4: Simplify right side
    1,582.29x = 2,005,986.31
  5. Step 5: Solve for x
    x = 2,005,986.31/1,582.29
  6. Step 6: Final answer
    x = 1,267.77

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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.