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Finding the Fourth Proportional to 15,685, 23,537.34 and 9,114.28

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Solution

The fourth proportional to 15,685, 23,537.34 and 9,114.28 is: 13,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685 : 23,537.34 = 9,114.28 : x
  2. Step 2: Convert to fraction form
    15,685/23,537.34 = 9,114.28/x
  3. Step 3: Cross multiply
    15,685x = 23,537.34 × 9,114.28
  4. Step 4: Simplify right side
    15,685x = 214,525,907.22
  5. Step 5: Solve for x
    x = 214,525,907.22/15,685
  6. Step 6: Final answer
    x = 13,677.14

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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.