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Finding the Fourth Proportional to 30,276.40, 41,782.64 and 18,333

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Solution

The fourth proportional to 30,276.40, 41,782.64 and 18,333 is: 25,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.40 : 41,782.64 = 18,333 : x
  2. Step 2: Convert to fraction form
    30,276.40/41,782.64 = 18,333/x
  3. Step 3: Cross multiply
    30,276.40x = 41,782.64 × 18,333
  4. Step 4: Simplify right side
    30,276.40x = 766,001,139.12
  5. Step 5: Solve for x
    x = 766,001,139.12/30,276.40
  6. Step 6: Final answer
    x = 25,300.27

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1.5x scale

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.