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Finding the Fourth Proportional to 10,030, 15,045.80 and 3,104.48

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Solution

The fourth proportional to 10,030, 15,045.80 and 3,104.48 is: 4,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030 : 15,045.80 = 3,104.48 : x
  2. Step 2: Convert to fraction form
    10,030/15,045.80 = 3,104.48/x
  3. Step 3: Cross multiply
    10,030x = 15,045.80 × 3,104.48
  4. Step 4: Simplify right side
    10,030x = 46,709,385.18
  5. Step 5: Solve for x
    x = 46,709,385.18/10,030
  6. Step 6: Final answer
    x = 4,656.97

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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.