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Finding the Fourth Proportional to 31,522, 47,283 and 13,054

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Solution

The fourth proportional to 31,522, 47,283 and 13,054 is: 19,581

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522 : 47,283 = 13,054 : x
  2. Step 2: Convert to fraction form
    31,522/47,283 = 13,054/x
  3. Step 3: Cross multiply
    31,522x = 47,283 × 13,054
  4. Step 4: Simplify right side
    31,522x = 617,232,282
  5. Step 5: Solve for x
    x = 617,232,282/31,522
  6. Step 6: Final answer
    x = 19,581

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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.