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Finding the Fourth Proportional to 38,894, 58,349.64 and 14,270

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Solution

The fourth proportional to 38,894, 58,349.64 and 14,270 is: 21,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,894 : 58,349.64 = 14,270 : x
  2. Step 2: Convert to fraction form
    38,894/58,349.64 = 14,270/x
  3. Step 3: Cross multiply
    38,894x = 58,349.64 × 14,270
  4. Step 4: Simplify right side
    38,894x = 832,649,362.80
  5. Step 5: Solve for x
    x = 832,649,362.80/38,894
  6. Step 6: Final answer
    x = 21,408.17

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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.