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Finding the Fourth Proportional to 15,685, 23,529.12 and 6,328.24

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Solution

The fourth proportional to 15,685, 23,529.12 and 6,328.24 is: 9,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685 : 23,529.12 = 6,328.24 : x
  2. Step 2: Convert to fraction form
    15,685/23,529.12 = 6,328.24/x
  3. Step 3: Cross multiply
    15,685x = 23,529.12 × 6,328.24
  4. Step 4: Simplify right side
    15,685x = 148,897,918.35
  5. Step 5: Solve for x
    x = 148,897,918.35/15,685
  6. Step 6: Final answer
    x = 9,493.01

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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.