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Finding the Fourth Proportional to 11,340, 15,647.38 and 6,559.89

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Solution

The fourth proportional to 11,340, 15,647.38 and 6,559.89 is: 9,051.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340 : 15,647.38 = 6,559.89 : x
  2. Step 2: Convert to fraction form
    11,340/15,647.38 = 6,559.89/x
  3. Step 3: Cross multiply
    11,340x = 15,647.38 × 6,559.89
  4. Step 4: Simplify right side
    11,340x = 102,645,016.51
  5. Step 5: Solve for x
    x = 102,645,016.51/11,340
  6. Step 6: Final answer
    x = 9,051.59

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1.5x scale

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.