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Finding the Fourth Proportional to 10,002.51, 15,004.51 and 2,981.98

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Solution

The fourth proportional to 10,002.51, 15,004.51 and 2,981.98 is: 4,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.51 : 15,004.51 = 2,981.98 : x
  2. Step 2: Convert to fraction form
    10,002.51/15,004.51 = 2,981.98/x
  3. Step 3: Cross multiply
    10,002.51x = 15,004.51 × 2,981.98
  4. Step 4: Simplify right side
    10,002.51x = 44,743,133.82
  5. Step 5: Solve for x
    x = 44,743,133.82/10,002.51
  6. Step 6: Final answer
    x = 4,473.19

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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.