Home / 1,564.32-2,157.84-1,122.33

Finding the Fourth Proportional to 1,564.32, 2,157.84 and 1,122.33

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Solution

The fourth proportional to 1,564.32, 2,157.84 and 1,122.33 is: 1,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.32 : 2,157.84 = 1,122.33 : x
  2. Step 2: Convert to fraction form
    1,564.32/2,157.84 = 1,122.33/x
  3. Step 3: Cross multiply
    1,564.32x = 2,157.84 × 1,122.33
  4. Step 4: Simplify right side
    1,564.32x = 2,421,808.57
  5. Step 5: Solve for x
    x = 2,421,808.57/1,564.32
  6. Step 6: Final answer
    x = 1,548.15

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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.