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Finding the Fourth Proportional to 12,415.02, 17,131.47 and 7,037.70

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Solution

The fourth proportional to 12,415.02, 17,131.47 and 7,037.70 is: 9,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.02 : 17,131.47 = 7,037.70 : x
  2. Step 2: Convert to fraction form
    12,415.02/17,131.47 = 7,037.70/x
  3. Step 3: Cross multiply
    12,415.02x = 17,131.47 × 7,037.70
  4. Step 4: Simplify right side
    12,415.02x = 120,566,146.42
  5. Step 5: Solve for x
    x = 120,566,146.42/12,415.02
  6. Step 6: Final answer
    x = 9,711.31

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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.