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Finding the Fourth Proportional to 9,210, 13,802.56 and 5,043.72

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Solution

The fourth proportional to 9,210, 13,802.56 and 5,043.72 is: 7,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 13,802.56 = 5,043.72 : x
  2. Step 2: Convert to fraction form
    9,210/13,802.56 = 5,043.72/x
  3. Step 3: Cross multiply
    9,210x = 13,802.56 × 5,043.72
  4. Step 4: Simplify right side
    9,210x = 69,616,247.92
  5. Step 5: Solve for x
    x = 69,616,247.92/9,210
  6. Step 6: Final answer
    x = 7,558.77

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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.