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Finding the Fourth Proportional to 7,681, 10,599.84 and 4,369

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Solution

The fourth proportional to 7,681, 10,599.84 and 4,369 is: 6,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681 : 10,599.84 = 4,369 : x
  2. Step 2: Convert to fraction form
    7,681/10,599.84 = 4,369/x
  3. Step 3: Cross multiply
    7,681x = 10,599.84 × 4,369
  4. Step 4: Simplify right side
    7,681x = 46,310,700.96
  5. Step 5: Solve for x
    x = 46,310,700.96/7,681
  6. Step 6: Final answer
    x = 6,029.25

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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.