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Finding the Fourth Proportional to 1,289.10, 1,929.60 and 1,248.60

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Solution

The fourth proportional to 1,289.10, 1,929.60 and 1,248.60 is: 1,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.10 : 1,929.60 = 1,248.60 : x
  2. Step 2: Convert to fraction form
    1,289.10/1,929.60 = 1,248.60/x
  3. Step 3: Cross multiply
    1,289.10x = 1,929.60 × 1,248.60
  4. Step 4: Simplify right side
    1,289.10x = 2,409,298.56
  5. Step 5: Solve for x
    x = 2,409,298.56/1,289.10
  6. Step 6: Final answer
    x = 1,868.98

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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.