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Finding the Fourth Proportional to 9,246, 13,869.76 and 3,090

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Solution

The fourth proportional to 9,246, 13,869.76 and 3,090 is: 4,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246 : 13,869.76 = 3,090 : x
  2. Step 2: Convert to fraction form
    9,246/13,869.76 = 3,090/x
  3. Step 3: Cross multiply
    9,246x = 13,869.76 × 3,090
  4. Step 4: Simplify right side
    9,246x = 42,857,558.40
  5. Step 5: Solve for x
    x = 42,857,558.40/9,246
  6. Step 6: Final answer
    x = 4,635.25

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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.