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Finding the Fourth Proportional to 35,978.87, 53,968.43 and 11,018.81

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Solution

The fourth proportional to 35,978.87, 53,968.43 and 11,018.81 is: 16,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.87 : 53,968.43 = 11,018.81 : x
  2. Step 2: Convert to fraction form
    35,978.87/53,968.43 = 11,018.81/x
  3. Step 3: Cross multiply
    35,978.87x = 53,968.43 × 11,018.81
  4. Step 4: Simplify right side
    35,978.87x = 594,668,038.64
  5. Step 5: Solve for x
    x = 594,668,038.64/35,978.87
  6. Step 6: Final answer
    x = 16,528.26

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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.