Home / 10,842.24-14,962.08-7,116

Finding the Fourth Proportional to 10,842.24, 14,962.08 and 7,116

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Solution

The fourth proportional to 10,842.24, 14,962.08 and 7,116 is: 9,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.24 : 14,962.08 = 7,116 : x
  2. Step 2: Convert to fraction form
    10,842.24/14,962.08 = 7,116/x
  3. Step 3: Cross multiply
    10,842.24x = 14,962.08 × 7,116
  4. Step 4: Simplify right side
    10,842.24x = 106,470,161.28
  5. Step 5: Solve for x
    x = 106,470,161.28/10,842.24
  6. Step 6: Final answer
    x = 9,819.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.