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Finding the Fourth Proportional to 9,556, 13,187.85 and 6,019.90

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Solution

The fourth proportional to 9,556, 13,187.85 and 6,019.90 is: 8,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556 : 13,187.85 = 6,019.90 : x
  2. Step 2: Convert to fraction form
    9,556/13,187.85 = 6,019.90/x
  3. Step 3: Cross multiply
    9,556x = 13,187.85 × 6,019.90
  4. Step 4: Simplify right side
    9,556x = 79,389,538.22
  5. Step 5: Solve for x
    x = 79,389,538.22/9,556
  6. Step 6: Final answer
    x = 8,307.82

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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.