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Finding the Fourth Proportional to 9,900.51, 14,858.97 and 4,971.56

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Solution

The fourth proportional to 9,900.51, 14,858.97 and 4,971.56 is: 7,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.51 : 14,858.97 = 4,971.56 : x
  2. Step 2: Convert to fraction form
    9,900.51/14,858.97 = 4,971.56/x
  3. Step 3: Cross multiply
    9,900.51x = 14,858.97 × 4,971.56
  4. Step 4: Simplify right side
    9,900.51x = 73,872,186.60
  5. Step 5: Solve for x
    x = 73,872,186.60/9,900.51
  6. Step 6: Final answer
    x = 7,461.45

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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.