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Finding the Fourth Proportional to 9,509.76, 13,122 and 5,317.20

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Solution

The fourth proportional to 9,509.76, 13,122 and 5,317.20 is: 7,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.76 : 13,122 = 5,317.20 : x
  2. Step 2: Convert to fraction form
    9,509.76/13,122 = 5,317.20/x
  3. Step 3: Cross multiply
    9,509.76x = 13,122 × 5,317.20
  4. Step 4: Simplify right side
    9,509.76x = 69,772,298.40
  5. Step 5: Solve for x
    x = 69,772,298.40/9,509.76
  6. Step 6: Final answer
    x = 7,336.91

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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.