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Finding the Fourth Proportional to 1,582.79, 2,184.24 and 919.65

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Solution

The fourth proportional to 1,582.79, 2,184.24 and 919.65 is: 1,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.79 : 2,184.24 = 919.65 : x
  2. Step 2: Convert to fraction form
    1,582.79/2,184.24 = 919.65/x
  3. Step 3: Cross multiply
    1,582.79x = 2,184.24 × 919.65
  4. Step 4: Simplify right side
    1,582.79x = 2,008,736.32
  5. Step 5: Solve for x
    x = 2,008,736.32/1,582.79
  6. Step 6: Final answer
    x = 1,269.11

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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.