Home / 1,584.24-2,186.08-921.13

Finding the Fourth Proportional to 1,584.24, 2,186.08 and 921.13

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Solution

The fourth proportional to 1,584.24, 2,186.08 and 921.13 is: 1,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.24 : 2,186.08 = 921.13 : x
  2. Step 2: Convert to fraction form
    1,584.24/2,186.08 = 921.13/x
  3. Step 3: Cross multiply
    1,584.24x = 2,186.08 × 921.13
  4. Step 4: Simplify right side
    1,584.24x = 2,013,663.87
  5. Step 5: Solve for x
    x = 2,013,663.87/1,584.24
  6. Step 6: Final answer
    x = 1,271.06

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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.