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Finding the Fourth Proportional to 35,988, 49,663.44 and 21,084

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Solution

The fourth proportional to 35,988, 49,663.44 and 21,084 is: 29,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,988 : 49,663.44 = 21,084 : x
  2. Step 2: Convert to fraction form
    35,988/49,663.44 = 21,084/x
  3. Step 3: Cross multiply
    35,988x = 49,663.44 × 21,084
  4. Step 4: Simplify right side
    35,988x = 1,047,103,968.96
  5. Step 5: Solve for x
    x = 1,047,103,968.96/35,988
  6. Step 6: Final answer
    x = 29,095.92

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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.