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Finding the Fourth Proportional to 11,903.93, 16,430.61 and 7,425

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Solution

The fourth proportional to 11,903.93, 16,430.61 and 7,425 is: 10,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.93 : 16,430.61 = 7,425 : x
  2. Step 2: Convert to fraction form
    11,903.93/16,430.61 = 7,425/x
  3. Step 3: Cross multiply
    11,903.93x = 16,430.61 × 7,425
  4. Step 4: Simplify right side
    11,903.93x = 121,997,307.09
  5. Step 5: Solve for x
    x = 121,997,307.09/11,903.93
  6. Step 6: Final answer
    x = 10,248.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.