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Finding the Fourth Proportional to 7,089.36, 9,784.20 and 5,407.80

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Solution

The fourth proportional to 7,089.36, 9,784.20 and 5,407.80 is: 7,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.36 : 9,784.20 = 5,407.80 : x
  2. Step 2: Convert to fraction form
    7,089.36/9,784.20 = 5,407.80/x
  3. Step 3: Cross multiply
    7,089.36x = 9,784.20 × 5,407.80
  4. Step 4: Simplify right side
    7,089.36x = 52,910,996.76
  5. Step 5: Solve for x
    x = 52,910,996.76/7,089.36
  6. Step 6: Final answer
    x = 7,463.44

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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.