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Finding the Fourth Proportional to 8,647.71, 12,987.23 and 7,953.14

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Solution

The fourth proportional to 8,647.71, 12,987.23 and 7,953.14 is: 11,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.71 : 12,987.23 = 7,953.14 : x
  2. Step 2: Convert to fraction form
    8,647.71/12,987.23 = 7,953.14/x
  3. Step 3: Cross multiply
    8,647.71x = 12,987.23 × 7,953.14
  4. Step 4: Simplify right side
    8,647.71x = 103,289,258.40
  5. Step 5: Solve for x
    x = 103,289,258.40/8,647.71
  6. Step 6: Final answer
    x = 11,944.12

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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.