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Finding the Fourth Proportional to 38,402, 57,603 and 9,218

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Solution

The fourth proportional to 38,402, 57,603 and 9,218 is: 13,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402 : 57,603 = 9,218 : x
  2. Step 2: Convert to fraction form
    38,402/57,603 = 9,218/x
  3. Step 3: Cross multiply
    38,402x = 57,603 × 9,218
  4. Step 4: Simplify right side
    38,402x = 530,984,454
  5. Step 5: Solve for x
    x = 530,984,454/38,402
  6. Step 6: Final answer
    x = 13,827

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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.