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Finding the Fourth Proportional to 3,130.69, 4,696.74 and 1,050.81

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Solution

The fourth proportional to 3,130.69, 4,696.74 and 1,050.81 is: 1,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.69 : 4,696.74 = 1,050.81 : x
  2. Step 2: Convert to fraction form
    3,130.69/4,696.74 = 1,050.81/x
  3. Step 3: Cross multiply
    3,130.69x = 4,696.74 × 1,050.81
  4. Step 4: Simplify right side
    3,130.69x = 4,935,381.36
  5. Step 5: Solve for x
    x = 4,935,381.36/3,130.69
  6. Step 6: Final answer
    x = 1,576.45

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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.