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Finding the Fourth Proportional to 9,648.86, 13,316.14 and 5,400.35

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Solution

The fourth proportional to 9,648.86, 13,316.14 and 5,400.35 is: 7,452.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.86 : 13,316.14 = 5,400.35 : x
  2. Step 2: Convert to fraction form
    9,648.86/13,316.14 = 5,400.35/x
  3. Step 3: Cross multiply
    9,648.86x = 13,316.14 × 5,400.35
  4. Step 4: Simplify right side
    9,648.86x = 71,911,750.07
  5. Step 5: Solve for x
    x = 71,911,750.07/9,648.86
  6. Step 6: Final answer
    x = 7,452.88

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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.