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Finding the Fourth Proportional to 35,988, 53,997.63 and 19,328.64

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Solution

The fourth proportional to 35,988, 53,997.63 and 19,328.64 is: 29,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,988 : 53,997.63 = 19,328.64 : x
  2. Step 2: Convert to fraction form
    35,988/53,997.63 = 19,328.64/x
  3. Step 3: Cross multiply
    35,988x = 53,997.63 × 19,328.64
  4. Step 4: Simplify right side
    35,988x = 1,043,700,751.12
  5. Step 5: Solve for x
    x = 1,043,700,751.12/35,988
  6. Step 6: Final answer
    x = 29,001.35

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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.