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Finding the Fourth Proportional to 28,003, 42,011.04 and 9,535

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Solution

The fourth proportional to 28,003, 42,011.04 and 9,535 is: 14,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,003 : 42,011.04 = 9,535 : x
  2. Step 2: Convert to fraction form
    28,003/42,011.04 = 9,535/x
  3. Step 3: Cross multiply
    28,003x = 42,011.04 × 9,535
  4. Step 4: Simplify right side
    28,003x = 400,575,266.40
  5. Step 5: Solve for x
    x = 400,575,266.40/28,003
  6. Step 6: Final answer
    x = 14,304.73

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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.