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Finding the Fourth Proportional to 1,359.08, 2,038.56 and 947

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Solution

The fourth proportional to 1,359.08, 2,038.56 and 947 is: 1,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.08 : 2,038.56 = 947 : x
  2. Step 2: Convert to fraction form
    1,359.08/2,038.56 = 947/x
  3. Step 3: Cross multiply
    1,359.08x = 2,038.56 × 947
  4. Step 4: Simplify right side
    1,359.08x = 1,930,516.32
  5. Step 5: Solve for x
    x = 1,930,516.32/1,359.08
  6. Step 6: Final answer
    x = 1,420.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.