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Finding the Fourth Proportional to 38,894, 58,315.08 and 18,106.16

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Solution

The fourth proportional to 38,894, 58,315.08 and 18,106.16 is: 27,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894 : 58,315.08 = 18,106.16 : x
  2. Step 2: Convert to fraction form
    38,894/58,315.08 = 18,106.16/x
  3. Step 3: Cross multiply
    38,894x = 58,315.08 × 18,106.16
  4. Step 4: Simplify right side
    38,894x = 1,055,862,168.89
  5. Step 5: Solve for x
    x = 1,055,862,168.89/38,894
  6. Step 6: Final answer
    x = 27,147.17

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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.