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Finding the Fourth Proportional to 15,684, 23,535.84 and 9,113.28

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Solution

The fourth proportional to 15,684, 23,535.84 and 9,113.28 is: 13,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684 : 23,535.84 = 9,113.28 : x
  2. Step 2: Convert to fraction form
    15,684/23,535.84 = 9,113.28/x
  3. Step 3: Cross multiply
    15,684x = 23,535.84 × 9,113.28
  4. Step 4: Simplify right side
    15,684x = 214,488,699.96
  5. Step 5: Solve for x
    x = 214,488,699.96/15,684
  6. Step 6: Final answer
    x = 13,675.64

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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.