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Finding the Fourth Proportional to 8,686.83, 13,030.16 and 2,113.02

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Solution

The fourth proportional to 8,686.83, 13,030.16 and 2,113.02 is: 3,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.83 : 13,030.16 = 2,113.02 : x
  2. Step 2: Convert to fraction form
    8,686.83/13,030.16 = 2,113.02/x
  3. Step 3: Cross multiply
    8,686.83x = 13,030.16 × 2,113.02
  4. Step 4: Simplify right side
    8,686.83x = 27,532,978.12
  5. Step 5: Solve for x
    x = 27,532,978.12/8,686.83
  6. Step 6: Final answer
    x = 3,169.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.