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Finding the Fourth Proportional to 1,298.94, 1,956.60 and 1,281.93

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Solution

The fourth proportional to 1,298.94, 1,956.60 and 1,281.93 is: 1,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.94 : 1,956.60 = 1,281.93 : x
  2. Step 2: Convert to fraction form
    1,298.94/1,956.60 = 1,281.93/x
  3. Step 3: Cross multiply
    1,298.94x = 1,956.60 × 1,281.93
  4. Step 4: Simplify right side
    1,298.94x = 2,508,224.24
  5. Step 5: Solve for x
    x = 2,508,224.24/1,298.94
  6. Step 6: Final answer
    x = 1,930.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.