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Finding the Fourth Proportional to 19,489.12, 29,238 and 9,095.20

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Solution

The fourth proportional to 19,489.12, 29,238 and 9,095.20 is: 13,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.12 : 29,238 = 9,095.20 : x
  2. Step 2: Convert to fraction form
    19,489.12/29,238 = 9,095.20/x
  3. Step 3: Cross multiply
    19,489.12x = 29,238 × 9,095.20
  4. Step 4: Simplify right side
    19,489.12x = 265,925,457.60
  5. Step 5: Solve for x
    x = 265,925,457.60/19,489.12
  6. Step 6: Final answer
    x = 13,644.82

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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.