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Finding the Fourth Proportional to 11,987.61, 17,985.46 and 4,970.98

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Solution

The fourth proportional to 11,987.61, 17,985.46 and 4,970.98 is: 7,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.61 : 17,985.46 = 4,970.98 : x
  2. Step 2: Convert to fraction form
    11,987.61/17,985.46 = 4,970.98/x
  3. Step 3: Cross multiply
    11,987.61x = 17,985.46 × 4,970.98
  4. Step 4: Simplify right side
    11,987.61x = 89,405,361.95
  5. Step 5: Solve for x
    x = 89,405,361.95/11,987.61
  6. Step 6: Final answer
    x = 7,458.15

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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.