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Finding the Fourth Proportional to 19,102.08, 28,638 and 8,708.16

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Solution

The fourth proportional to 19,102.08, 28,638 and 8,708.16 is: 13,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.08 : 28,638 = 8,708.16 : x
  2. Step 2: Convert to fraction form
    19,102.08/28,638 = 8,708.16/x
  3. Step 3: Cross multiply
    19,102.08x = 28,638 × 8,708.16
  4. Step 4: Simplify right side
    19,102.08x = 249,384,286.08
  5. Step 5: Solve for x
    x = 249,384,286.08/19,102.08
  6. Step 6: Final answer
    x = 13,055.35

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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.