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Finding the Fourth Proportional to 7,842.81, 10,823.99 and 4,699

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Solution

The fourth proportional to 7,842.81, 10,823.99 and 4,699 is: 6,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.81 : 10,823.99 = 4,699 : x
  2. Step 2: Convert to fraction form
    7,842.81/10,823.99 = 4,699/x
  3. Step 3: Cross multiply
    7,842.81x = 10,823.99 × 4,699
  4. Step 4: Simplify right side
    7,842.81x = 50,861,929.01
  5. Step 5: Solve for x
    x = 50,861,929.01/7,842.81
  6. Step 6: Final answer
    x = 6,485.17

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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.