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Finding the Fourth Proportional to 30,266.97, 45,400.30 and 7,777.62

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Solution

The fourth proportional to 30,266.97, 45,400.30 and 7,777.62 is: 11,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.97 : 45,400.30 = 7,777.62 : x
  2. Step 2: Convert to fraction form
    30,266.97/45,400.30 = 7,777.62/x
  3. Step 3: Cross multiply
    30,266.97x = 45,400.30 × 7,777.62
  4. Step 4: Simplify right side
    30,266.97x = 353,106,261.84
  5. Step 5: Solve for x
    x = 353,106,261.84/30,266.97
  6. Step 6: Final answer
    x = 11,666.39

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Similar ratio
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1.5x scale

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.