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Finding the Fourth Proportional to 10,003.50, 13,804.83 and 5,587.50

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Solution

The fourth proportional to 10,003.50, 13,804.83 and 5,587.50 is: 7,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.50 : 13,804.83 = 5,587.50 : x
  2. Step 2: Convert to fraction form
    10,003.50/13,804.83 = 5,587.50/x
  3. Step 3: Cross multiply
    10,003.50x = 13,804.83 × 5,587.50
  4. Step 4: Simplify right side
    10,003.50x = 77,134,487.63
  5. Step 5: Solve for x
    x = 77,134,487.63/10,003.50
  6. Step 6: Final answer
    x = 7,710.75

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