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Finding the Fourth Proportional to 10,009.51, 15,013.91 and 4,747.03

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Solution

The fourth proportional to 10,009.51, 15,013.91 and 4,747.03 is: 7,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.51 : 15,013.91 = 4,747.03 : x
  2. Step 2: Convert to fraction form
    10,009.51/15,013.91 = 4,747.03/x
  3. Step 3: Cross multiply
    10,009.51x = 15,013.91 × 4,747.03
  4. Step 4: Simplify right side
    10,009.51x = 71,271,455.52
  5. Step 5: Solve for x
    x = 71,271,455.52/10,009.51
  6. Step 6: Final answer
    x = 7,120.38

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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.