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Finding the Fourth Proportional to 9,124.36, 12,592.36 and 5,146.30

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Solution

The fourth proportional to 9,124.36, 12,592.36 and 5,146.30 is: 7,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.36 : 12,592.36 = 5,146.30 : x
  2. Step 2: Convert to fraction form
    9,124.36/12,592.36 = 5,146.30/x
  3. Step 3: Cross multiply
    9,124.36x = 12,592.36 × 5,146.30
  4. Step 4: Simplify right side
    9,124.36x = 64,804,062.27
  5. Step 5: Solve for x
    x = 64,804,062.27/9,124.36
  6. Step 6: Final answer
    x = 7,102.31

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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.