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Finding the Fourth Proportional to 25,621, 35,356.98 and 14,443

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Solution

The fourth proportional to 25,621, 35,356.98 and 14,443 is: 19,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,621 : 35,356.98 = 14,443 : x
  2. Step 2: Convert to fraction form
    25,621/35,356.98 = 14,443/x
  3. Step 3: Cross multiply
    25,621x = 35,356.98 × 14,443
  4. Step 4: Simplify right side
    25,621x = 510,660,862.14
  5. Step 5: Solve for x
    x = 510,660,862.14/25,621
  6. Step 6: Final answer
    x = 19,931.34

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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.