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Finding the Fourth Proportional to 8,670.81, 13,006.22 and 2,097.00

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Solution

The fourth proportional to 8,670.81, 13,006.22 and 2,097.00 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.81 : 13,006.22 = 2,097.00 : x
  2. Step 2: Convert to fraction form
    8,670.81/13,006.22 = 2,097.00/x
  3. Step 3: Cross multiply
    8,670.81x = 13,006.22 × 2,097.00
  4. Step 4: Simplify right side
    8,670.81x = 27,274,062.94
  5. Step 5: Solve for x
    x = 27,274,062.94/8,670.81
  6. Step 6: Final answer
    x = 3,145.50

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1.5x scale

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.