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Finding the Fourth Proportional to 9,669, 13,342.50 and 5,477.16

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Solution

The fourth proportional to 9,669, 13,342.50 and 5,477.16 is: 7,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669 : 13,342.50 = 5,477.16 : x
  2. Step 2: Convert to fraction form
    9,669/13,342.50 = 5,477.16/x
  3. Step 3: Cross multiply
    9,669x = 13,342.50 × 5,477.16
  4. Step 4: Simplify right side
    9,669x = 73,079,007.30
  5. Step 5: Solve for x
    x = 73,079,007.30/9,669
  6. Step 6: Final answer
    x = 7,558.07

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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.