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Finding the Fourth Proportional to 30,448.98, 45,645.30 and 11,723.40

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Solution

The fourth proportional to 30,448.98, 45,645.30 and 11,723.40 is: 17,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.98 : 45,645.30 = 11,723.40 : x
  2. Step 2: Convert to fraction form
    30,448.98/45,645.30 = 11,723.40/x
  3. Step 3: Cross multiply
    30,448.98x = 45,645.30 × 11,723.40
  4. Step 4: Simplify right side
    30,448.98x = 535,118,110.02
  5. Step 5: Solve for x
    x = 535,118,110.02/30,448.98
  6. Step 6: Final answer
    x = 17,574.25

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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.