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Finding the Fourth Proportional to 7,089.96, 9,783.54 and 3,946.44

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Solution

The fourth proportional to 7,089.96, 9,783.54 and 3,946.44 is: 5,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.96 : 9,783.54 = 3,946.44 : x
  2. Step 2: Convert to fraction form
    7,089.96/9,783.54 = 3,946.44/x
  3. Step 3: Cross multiply
    7,089.96x = 9,783.54 × 3,946.44
  4. Step 4: Simplify right side
    7,089.96x = 38,610,153.60
  5. Step 5: Solve for x
    x = 38,610,153.60/7,089.96
  6. Step 6: Final answer
    x = 5,445.75

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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.