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Finding the Fourth Proportional to 22,579, 31,159.02 and 12,643

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Solution

The fourth proportional to 22,579, 31,159.02 and 12,643 is: 17,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,579 : 31,159.02 = 12,643 : x
  2. Step 2: Convert to fraction form
    22,579/31,159.02 = 12,643/x
  3. Step 3: Cross multiply
    22,579x = 31,159.02 × 12,643
  4. Step 4: Simplify right side
    22,579x = 393,943,489.86
  5. Step 5: Solve for x
    x = 393,943,489.86/22,579
  6. Step 6: Final answer
    x = 17,447.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.