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Finding the Fourth Proportional to 4,946.90, 7,424.40 and 4,784.90

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Solution

The fourth proportional to 4,946.90, 7,424.40 and 4,784.90 is: 7,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.90 : 7,424.40 = 4,784.90 : x
  2. Step 2: Convert to fraction form
    4,946.90/7,424.40 = 4,784.90/x
  3. Step 3: Cross multiply
    4,946.90x = 7,424.40 × 4,784.90
  4. Step 4: Simplify right side
    4,946.90x = 35,525,011.56
  5. Step 5: Solve for x
    x = 35,525,011.56/4,946.90
  6. Step 6: Final answer
    x = 7,181.27

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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.