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Finding the Fourth Proportional to 5,678.79, 7,832.30 and 3,689.99

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Solution

The fourth proportional to 5,678.79, 7,832.30 and 3,689.99 is: 5,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.79 : 7,832.30 = 3,689.99 : x
  2. Step 2: Convert to fraction form
    5,678.79/7,832.30 = 3,689.99/x
  3. Step 3: Cross multiply
    5,678.79x = 7,832.30 × 3,689.99
  4. Step 4: Simplify right side
    5,678.79x = 28,901,080.44
  5. Step 5: Solve for x
    x = 28,901,080.44/5,678.79
  6. Step 6: Final answer
    x = 5,089.30

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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.