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Finding the Fourth Proportional to 10,002.36, 14,995.02 and 6,109.50

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Solution

The fourth proportional to 10,002.36, 14,995.02 and 6,109.50 is: 9,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.36 : 14,995.02 = 6,109.50 : x
  2. Step 2: Convert to fraction form
    10,002.36/14,995.02 = 6,109.50/x
  3. Step 3: Cross multiply
    10,002.36x = 14,995.02 × 6,109.50
  4. Step 4: Simplify right side
    10,002.36x = 91,612,074.69
  5. Step 5: Solve for x
    x = 91,612,074.69/10,002.36
  6. Step 6: Final answer
    x = 9,159.05

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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.