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Finding the Fourth Proportional to 7,476, 10,319.31 and 4,331.58

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Solution

The fourth proportional to 7,476, 10,319.31 and 4,331.58 is: 5,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476 : 10,319.31 = 4,331.58 : x
  2. Step 2: Convert to fraction form
    7,476/10,319.31 = 4,331.58/x
  3. Step 3: Cross multiply
    7,476x = 10,319.31 × 4,331.58
  4. Step 4: Simplify right side
    7,476x = 44,698,916.81
  5. Step 5: Solve for x
    x = 44,698,916.81/7,476
  6. Step 6: Final answer
    x = 5,978.99

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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.