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Finding the Fourth Proportional to 3,562.81, 4,916.65 and 1,969.50

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Solution

The fourth proportional to 3,562.81, 4,916.65 and 1,969.50 is: 2,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.81 : 4,916.65 = 1,969.50 : x
  2. Step 2: Convert to fraction form
    3,562.81/4,916.65 = 1,969.50/x
  3. Step 3: Cross multiply
    3,562.81x = 4,916.65 × 1,969.50
  4. Step 4: Simplify right side
    3,562.81x = 9,683,342.18
  5. Step 5: Solve for x
    x = 9,683,342.18/3,562.81
  6. Step 6: Final answer
    x = 2,717.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.