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Finding the Fourth Proportional to 10,579, 14,599.04 and 6,386.44

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Solution

The fourth proportional to 10,579, 14,599.04 and 6,386.44 is: 8,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579 : 14,599.04 = 6,386.44 : x
  2. Step 2: Convert to fraction form
    10,579/14,599.04 = 6,386.44/x
  3. Step 3: Cross multiply
    10,579x = 14,599.04 × 6,386.44
  4. Step 4: Simplify right side
    10,579x = 93,235,893.02
  5. Step 5: Solve for x
    x = 93,235,893.02/10,579
  6. Step 6: Final answer
    x = 8,813.30

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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.