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Finding the Fourth Proportional to 30,477.78, 45,706.89 and 9,696.42

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Solution

The fourth proportional to 30,477.78, 45,706.89 and 9,696.42 is: 14,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.78 : 45,706.89 = 9,696.42 : x
  2. Step 2: Convert to fraction form
    30,477.78/45,706.89 = 9,696.42/x
  3. Step 3: Cross multiply
    30,477.78x = 45,706.89 × 9,696.42
  4. Step 4: Simplify right side
    30,477.78x = 443,193,202.33
  5. Step 5: Solve for x
    x = 443,193,202.33/30,477.78
  6. Step 6: Final answer
    x = 14,541.52

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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.