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Finding the Fourth Proportional to 30,155.00, 45,232.79 and 11,430

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Solution

The fourth proportional to 30,155.00, 45,232.79 and 11,430 is: 17,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,155.00 : 45,232.79 = 11,430 : x
  2. Step 2: Convert to fraction form
    30,155.00/45,232.79 = 11,430/x
  3. Step 3: Cross multiply
    30,155.00x = 45,232.79 × 11,430
  4. Step 4: Simplify right side
    30,155.00x = 517,010,732.55
  5. Step 5: Solve for x
    x = 517,010,732.55/30,155.00
  6. Step 6: Final answer
    x = 17,145.11

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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.