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Finding the Fourth Proportional to 10,433.49, 15,643.86 and 4,888.53

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Solution

The fourth proportional to 10,433.49, 15,643.86 and 4,888.53 is: 7,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.49 : 15,643.86 = 4,888.53 : x
  2. Step 2: Convert to fraction form
    10,433.49/15,643.86 = 4,888.53/x
  3. Step 3: Cross multiply
    10,433.49x = 15,643.86 × 4,888.53
  4. Step 4: Simplify right side
    10,433.49x = 76,475,478.93
  5. Step 5: Solve for x
    x = 76,475,478.93/10,433.49
  6. Step 6: Final answer
    x = 7,329.81

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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.