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Finding the Fourth Proportional to 21,062, 31,593 and 6,470

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Solution

The fourth proportional to 21,062, 31,593 and 6,470 is: 9,705

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062 : 31,593 = 6,470 : x
  2. Step 2: Convert to fraction form
    21,062/31,593 = 6,470/x
  3. Step 3: Cross multiply
    21,062x = 31,593 × 6,470
  4. Step 4: Simplify right side
    21,062x = 204,406,710
  5. Step 5: Solve for x
    x = 204,406,710/21,062
  6. Step 6: Final answer
    x = 9,705

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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.