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Finding the Fourth Proportional to 9,579.78, 13,218.57 and 5,802.30

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Solution

The fourth proportional to 9,579.78, 13,218.57 and 5,802.30 is: 8,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.78 : 13,218.57 = 5,802.30 : x
  2. Step 2: Convert to fraction form
    9,579.78/13,218.57 = 5,802.30/x
  3. Step 3: Cross multiply
    9,579.78x = 13,218.57 × 5,802.30
  4. Step 4: Simplify right side
    9,579.78x = 76,698,108.71
  5. Step 5: Solve for x
    x = 76,698,108.71/9,579.78
  6. Step 6: Final answer
    x = 8,006.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.