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Finding the Fourth Proportional to 10,075.58, 13,876.02 and 9,857.61

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Solution

The fourth proportional to 10,075.58, 13,876.02 and 9,857.61 is: 13,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.58 : 13,876.02 = 9,857.61 : x
  2. Step 2: Convert to fraction form
    10,075.58/13,876.02 = 9,857.61/x
  3. Step 3: Cross multiply
    10,075.58x = 13,876.02 × 9,857.61
  4. Step 4: Simplify right side
    10,075.58x = 136,784,393.51
  5. Step 5: Solve for x
    x = 136,784,393.51/10,075.58
  6. Step 6: Final answer
    x = 13,575.84

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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.