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Finding the Fourth Proportional to 30,378.41, 45,569 and 9,316.91

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Solution

The fourth proportional to 30,378.41, 45,569 and 9,316.91 is: 13,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.41 : 45,569 = 9,316.91 : x
  2. Step 2: Convert to fraction form
    30,378.41/45,569 = 9,316.91/x
  3. Step 3: Cross multiply
    30,378.41x = 45,569 × 9,316.91
  4. Step 4: Simplify right side
    30,378.41x = 424,562,271.79
  5. Step 5: Solve for x
    x = 424,562,271.79/30,378.41
  6. Step 6: Final answer
    x = 13,975.79

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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.