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Finding the Fourth Proportional to 9,985, 13,779.30 and 5,569

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Solution

The fourth proportional to 9,985, 13,779.30 and 5,569 is: 7,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985 : 13,779.30 = 5,569 : x
  2. Step 2: Convert to fraction form
    9,985/13,779.30 = 5,569/x
  3. Step 3: Cross multiply
    9,985x = 13,779.30 × 5,569
  4. Step 4: Simplify right side
    9,985x = 76,736,921.70
  5. Step 5: Solve for x
    x = 76,736,921.70/9,985
  6. Step 6: Final answer
    x = 7,685.22

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Why These Related Problems?

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