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Finding the Fourth Proportional to 9,836, 13,573.68 and 5,420

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Solution

The fourth proportional to 9,836, 13,573.68 and 5,420 is: 7,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836 : 13,573.68 = 5,420 : x
  2. Step 2: Convert to fraction form
    9,836/13,573.68 = 5,420/x
  3. Step 3: Cross multiply
    9,836x = 13,573.68 × 5,420
  4. Step 4: Simplify right side
    9,836x = 73,569,345.60
  5. Step 5: Solve for x
    x = 73,569,345.60/9,836
  6. Step 6: Final answer
    x = 7,479.60

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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.