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Finding the Fourth Proportional to 30,426, 41,987.88 and 17,178

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Solution

The fourth proportional to 30,426, 41,987.88 and 17,178 is: 23,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426 : 41,987.88 = 17,178 : x
  2. Step 2: Convert to fraction form
    30,426/41,987.88 = 17,178/x
  3. Step 3: Cross multiply
    30,426x = 41,987.88 × 17,178
  4. Step 4: Simplify right side
    30,426x = 721,267,802.64
  5. Step 5: Solve for x
    x = 721,267,802.64/30,426
  6. Step 6: Final answer
    x = 23,705.64

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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.