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Finding the Fourth Proportional to 25,411, 38,118.68 and 6,943

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Solution

The fourth proportional to 25,411, 38,118.68 and 6,943 is: 10,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411 : 38,118.68 = 6,943 : x
  2. Step 2: Convert to fraction form
    25,411/38,118.68 = 6,943/x
  3. Step 3: Cross multiply
    25,411x = 38,118.68 × 6,943
  4. Step 4: Simplify right side
    25,411x = 264,657,995.24
  5. Step 5: Solve for x
    x = 264,657,995.24/25,411
  6. Step 6: Final answer
    x = 10,415.10

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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.