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Finding the Fourth Proportional to 9,053.40, 13,580.10 and 5,165.40

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Solution

The fourth proportional to 9,053.40, 13,580.10 and 5,165.40 is: 7,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.40 : 13,580.10 = 5,165.40 : x
  2. Step 2: Convert to fraction form
    9,053.40/13,580.10 = 5,165.40/x
  3. Step 3: Cross multiply
    9,053.40x = 13,580.10 × 5,165.40
  4. Step 4: Simplify right side
    9,053.40x = 70,146,648.54
  5. Step 5: Solve for x
    x = 70,146,648.54/9,053.40
  6. Step 6: Final answer
    x = 7,748.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.