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Finding the Fourth Proportional to 9,985, 14,987.42 and 5,305.05

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Solution

The fourth proportional to 9,985, 14,987.42 and 5,305.05 is: 7,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985 : 14,987.42 = 5,305.05 : x
  2. Step 2: Convert to fraction form
    9,985/14,987.42 = 5,305.05/x
  3. Step 3: Cross multiply
    9,985x = 14,987.42 × 5,305.05
  4. Step 4: Simplify right side
    9,985x = 79,509,012.47
  5. Step 5: Solve for x
    x = 79,509,012.47/9,985
  6. Step 6: Final answer
    x = 7,962.85

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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.