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Finding the Fourth Proportional to 15,708.81, 21,679.67 and 8,993.10

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Solution

The fourth proportional to 15,708.81, 21,679.67 and 8,993.10 is: 12,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.81 : 21,679.67 = 8,993.10 : x
  2. Step 2: Convert to fraction form
    15,708.81/21,679.67 = 8,993.10/x
  3. Step 3: Cross multiply
    15,708.81x = 21,679.67 × 8,993.10
  4. Step 4: Simplify right side
    15,708.81x = 194,967,440.28
  5. Step 5: Solve for x
    x = 194,967,440.28/15,708.81
  6. Step 6: Final answer
    x = 12,411.34

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1.5x scale

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.