Home / 1,564.54-2,157.59-1,167.08

Finding the Fourth Proportional to 1,564.54, 2,157.59 and 1,167.08

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Solution

The fourth proportional to 1,564.54, 2,157.59 and 1,167.08 is: 1,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.54 : 2,157.59 = 1,167.08 : x
  2. Step 2: Convert to fraction form
    1,564.54/2,157.59 = 1,167.08/x
  3. Step 3: Cross multiply
    1,564.54x = 2,157.59 × 1,167.08
  4. Step 4: Simplify right side
    1,564.54x = 2,518,080.14
  5. Step 5: Solve for x
    x = 2,518,080.14/1,564.54
  6. Step 6: Final answer
    x = 1,609.47

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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.