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Finding the Fourth Proportional to 30,038.56, 45,069.36 and 11,572

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Solution

The fourth proportional to 30,038.56, 45,069.36 and 11,572 is: 17,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,038.56 : 45,069.36 = 11,572 : x
  2. Step 2: Convert to fraction form
    30,038.56/45,069.36 = 11,572/x
  3. Step 3: Cross multiply
    30,038.56x = 45,069.36 × 11,572
  4. Step 4: Simplify right side
    30,038.56x = 521,542,633.92
  5. Step 5: Solve for x
    x = 521,542,633.92/30,038.56
  6. Step 6: Final answer
    x = 17,362.44

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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.