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Finding the Fourth Proportional to 9,888, 13,647.90 and 5,698.68

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Solution

The fourth proportional to 9,888, 13,647.90 and 5,698.68 is: 7,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888 : 13,647.90 = 5,698.68 : x
  2. Step 2: Convert to fraction form
    9,888/13,647.90 = 5,698.68/x
  3. Step 3: Cross multiply
    9,888x = 13,647.90 × 5,698.68
  4. Step 4: Simplify right side
    9,888x = 77,775,014.77
  5. Step 5: Solve for x
    x = 77,775,014.77/9,888
  6. Step 6: Final answer
    x = 7,865.60

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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.