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Finding the Fourth Proportional to 39,969.81, 59,978.48 and 17,784.45

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Solution

The fourth proportional to 39,969.81, 59,978.48 and 17,784.45 is: 26,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969.81 : 59,978.48 = 17,784.45 : x
  2. Step 2: Convert to fraction form
    39,969.81/59,978.48 = 17,784.45/x
  3. Step 3: Cross multiply
    39,969.81x = 59,978.48 × 17,784.45
  4. Step 4: Simplify right side
    39,969.81x = 1,066,684,189.71
  5. Step 5: Solve for x
    x = 1,066,684,189.71/39,969.81
  6. Step 6: Final answer
    x = 26,687.25

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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.