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Finding the Fourth Proportional to 19,483.92, 29,230.20 and 9,090

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Solution

The fourth proportional to 19,483.92, 29,230.20 and 9,090 is: 13,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,483.92 : 29,230.20 = 9,090 : x
  2. Step 2: Convert to fraction form
    19,483.92/29,230.20 = 9,090/x
  3. Step 3: Cross multiply
    19,483.92x = 29,230.20 × 9,090
  4. Step 4: Simplify right side
    19,483.92x = 265,702,518
  5. Step 5: Solve for x
    x = 265,702,518/19,483.92
  6. Step 6: Final answer
    x = 13,637.02

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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.