Home / 1,582.12-2,356.97-1,564.84

Finding the Fourth Proportional to 1,582.12, 2,356.97 and 1,564.84

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Solution

The fourth proportional to 1,582.12, 2,356.97 and 1,564.84 is: 2,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.12 : 2,356.97 = 1,564.84 : x
  2. Step 2: Convert to fraction form
    1,582.12/2,356.97 = 1,564.84/x
  3. Step 3: Cross multiply
    1,582.12x = 2,356.97 × 1,564.84
  4. Step 4: Simplify right side
    1,582.12x = 3,688,280.93
  5. Step 5: Solve for x
    x = 3,688,280.93/1,582.12
  6. Step 6: Final answer
    x = 2,331.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.