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Finding the Fourth Proportional to 31,402, 47,103 and 10,625.50

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Solution

The fourth proportional to 31,402, 47,103 and 10,625.50 is: 15,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402 : 47,103 = 10,625.50 : x
  2. Step 2: Convert to fraction form
    31,402/47,103 = 10,625.50/x
  3. Step 3: Cross multiply
    31,402x = 47,103 × 10,625.50
  4. Step 4: Simplify right side
    31,402x = 500,492,926.50
  5. Step 5: Solve for x
    x = 500,492,926.50/31,402
  6. Step 6: Final answer
    x = 15,938.25

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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.