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Finding the Fourth Proportional to 35,983, 49,656.54 and 21,079

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Solution

The fourth proportional to 35,983, 49,656.54 and 21,079 is: 29,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983 : 49,656.54 = 21,079 : x
  2. Step 2: Convert to fraction form
    35,983/49,656.54 = 21,079/x
  3. Step 3: Cross multiply
    35,983x = 49,656.54 × 21,079
  4. Step 4: Simplify right side
    35,983x = 1,046,710,206.66
  5. Step 5: Solve for x
    x = 1,046,710,206.66/35,983
  6. Step 6: Final answer
    x = 29,089.02

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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.