Home / 1,564.08-2,158.92-1,004.64

Finding the Fourth Proportional to 1,564.08, 2,158.92 and 1,004.64

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Solution

The fourth proportional to 1,564.08, 2,158.92 and 1,004.64 is: 1,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.08 : 2,158.92 = 1,004.64 : x
  2. Step 2: Convert to fraction form
    1,564.08/2,158.92 = 1,004.64/x
  3. Step 3: Cross multiply
    1,564.08x = 2,158.92 × 1,004.64
  4. Step 4: Simplify right side
    1,564.08x = 2,168,937.39
  5. Step 5: Solve for x
    x = 2,168,937.39/1,564.08
  6. Step 6: Final answer
    x = 1,386.72

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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.