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Finding the Fourth Proportional to 9,888, 14,830.24 and 4,340.32

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Solution

The fourth proportional to 9,888, 14,830.24 and 4,340.32 is: 6,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888 : 14,830.24 = 4,340.32 : x
  2. Step 2: Convert to fraction form
    9,888/14,830.24 = 4,340.32/x
  3. Step 3: Cross multiply
    9,888x = 14,830.24 × 4,340.32
  4. Step 4: Simplify right side
    9,888x = 64,367,987.28
  5. Step 5: Solve for x
    x = 64,367,987.28/9,888
  6. Step 6: Final answer
    x = 6,509.71

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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.