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Finding the Fourth Proportional to 25,991, 39,003.80 and 9,575

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Solution

The fourth proportional to 25,991, 39,003.80 and 9,575 is: 14,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,991 : 39,003.80 = 9,575 : x
  2. Step 2: Convert to fraction form
    25,991/39,003.80 = 9,575/x
  3. Step 3: Cross multiply
    25,991x = 39,003.80 × 9,575
  4. Step 4: Simplify right side
    25,991x = 373,461,385
  5. Step 5: Solve for x
    x = 373,461,385/25,991
  6. Step 6: Final answer
    x = 14,368.87

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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.