Home / 1,566.24-2,164.32-1,442.40

Finding the Fourth Proportional to 1,566.24, 2,164.32 and 1,442.40

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Solution

The fourth proportional to 1,566.24, 2,164.32 and 1,442.40 is: 1,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.24 : 2,164.32 = 1,442.40 : x
  2. Step 2: Convert to fraction form
    1,566.24/2,164.32 = 1,442.40/x
  3. Step 3: Cross multiply
    1,566.24x = 2,164.32 × 1,442.40
  4. Step 4: Simplify right side
    1,566.24x = 3,121,815.17
  5. Step 5: Solve for x
    x = 3,121,815.17/1,566.24
  6. Step 6: Final answer
    x = 1,993.19

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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.