Home / 1,561.32-2,154.24-971.64

Finding the Fourth Proportional to 1,561.32, 2,154.24 and 971.64

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Solution

The fourth proportional to 1,561.32, 2,154.24 and 971.64 is: 1,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.32 : 2,154.24 = 971.64 : x
  2. Step 2: Convert to fraction form
    1,561.32/2,154.24 = 971.64/x
  3. Step 3: Cross multiply
    1,561.32x = 2,154.24 × 971.64
  4. Step 4: Simplify right side
    1,561.32x = 2,093,145.75
  5. Step 5: Solve for x
    x = 2,093,145.75/1,561.32
  6. Step 6: Final answer
    x = 1,340.63

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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.