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Finding the Fourth Proportional to 38,178, 52,685.67 and 21,411

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Solution

The fourth proportional to 38,178, 52,685.67 and 21,411 is: 29,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,178 : 52,685.67 = 21,411 : x
  2. Step 2: Convert to fraction form
    38,178/52,685.67 = 21,411/x
  3. Step 3: Cross multiply
    38,178x = 52,685.67 × 21,411
  4. Step 4: Simplify right side
    38,178x = 1,128,052,880.37
  5. Step 5: Solve for x
    x = 1,128,052,880.37/38,178
  6. Step 6: Final answer
    x = 29,547.20

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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.