Home / 10,730.36-16,078-10,320.30

Finding the Fourth Proportional to 10,730.36, 16,078 and 10,320.30

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Solution

The fourth proportional to 10,730.36, 16,078 and 10,320.30 is: 15,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.36 : 16,078 = 10,320.30 : x
  2. Step 2: Convert to fraction form
    10,730.36/16,078 = 10,320.30/x
  3. Step 3: Cross multiply
    10,730.36x = 16,078 × 10,320.30
  4. Step 4: Simplify right side
    10,730.36x = 165,929,783.40
  5. Step 5: Solve for x
    x = 165,929,783.40/10,730.36
  6. Step 6: Final answer
    x = 15,463.58

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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.