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Finding the Fourth Proportional to 9,509.07, 13,128.98 and 5,925.47

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Solution

The fourth proportional to 9,509.07, 13,128.98 and 5,925.47 is: 8,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.07 : 13,128.98 = 5,925.47 : x
  2. Step 2: Convert to fraction form
    9,509.07/13,128.98 = 5,925.47/x
  3. Step 3: Cross multiply
    9,509.07x = 13,128.98 × 5,925.47
  4. Step 4: Simplify right side
    9,509.07x = 77,795,377.12
  5. Step 5: Solve for x
    x = 77,795,377.12/9,509.07
  6. Step 6: Final answer
    x = 8,181.18

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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.