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Finding the Fourth Proportional to 2,186, 3,017.16 and 1,358.48

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Solution

The fourth proportional to 2,186, 3,017.16 and 1,358.48 is: 1,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186 : 3,017.16 = 1,358.48 : x
  2. Step 2: Convert to fraction form
    2,186/3,017.16 = 1,358.48/x
  3. Step 3: Cross multiply
    2,186x = 3,017.16 × 1,358.48
  4. Step 4: Simplify right side
    2,186x = 4,098,751.52
  5. Step 5: Solve for x
    x = 4,098,751.52/2,186
  6. Step 6: Final answer
    x = 1,875.00

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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.