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Finding the Fourth Proportional to 10,580.12, 15,858.84 and 5,030

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Solution

The fourth proportional to 10,580.12, 15,858.84 and 5,030 is: 7,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.12 : 15,858.84 = 5,030 : x
  2. Step 2: Convert to fraction form
    10,580.12/15,858.84 = 5,030/x
  3. Step 3: Cross multiply
    10,580.12x = 15,858.84 × 5,030
  4. Step 4: Simplify right side
    10,580.12x = 79,769,965.20
  5. Step 5: Solve for x
    x = 79,769,965.20/10,580.12
  6. Step 6: Final answer
    x = 7,539.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.