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Finding the Fourth Proportional to 35,316, 48,740.40 and 20,412

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Solution

The fourth proportional to 35,316, 48,740.40 and 20,412 is: 28,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,316 : 48,740.40 = 20,412 : x
  2. Step 2: Convert to fraction form
    35,316/48,740.40 = 20,412/x
  3. Step 3: Cross multiply
    35,316x = 48,740.40 × 20,412
  4. Step 4: Simplify right side
    35,316x = 994,889,044.80
  5. Step 5: Solve for x
    x = 994,889,044.80/35,316
  6. Step 6: Final answer
    x = 28,171.06

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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.