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Finding the Fourth Proportional to 7,828, 10,802.64 and 4,516

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Solution

The fourth proportional to 7,828, 10,802.64 and 4,516 is: 6,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828 : 10,802.64 = 4,516 : x
  2. Step 2: Convert to fraction form
    7,828/10,802.64 = 4,516/x
  3. Step 3: Cross multiply
    7,828x = 10,802.64 × 4,516
  4. Step 4: Simplify right side
    7,828x = 48,784,722.24
  5. Step 5: Solve for x
    x = 48,784,722.24/7,828
  6. Step 6: Final answer
    x = 6,232.08

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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.