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Finding the Fourth Proportional to 9,153.48, 12,632.45 and 5,174.63

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Solution

The fourth proportional to 9,153.48, 12,632.45 and 5,174.63 is: 7,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.48 : 12,632.45 = 5,174.63 : x
  2. Step 2: Convert to fraction form
    9,153.48/12,632.45 = 5,174.63/x
  3. Step 3: Cross multiply
    9,153.48x = 12,632.45 × 5,174.63
  4. Step 4: Simplify right side
    9,153.48x = 65,368,254.74
  5. Step 5: Solve for x
    x = 65,368,254.74/9,153.48
  6. Step 6: Final answer
    x = 7,141.36

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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.