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Finding the Fourth Proportional to 1,313.60, 1,811.26 and 981.47

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Solution

The fourth proportional to 1,313.60, 1,811.26 and 981.47 is: 1,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.60 : 1,811.26 = 981.47 : x
  2. Step 2: Convert to fraction form
    1,313.60/1,811.26 = 981.47/x
  3. Step 3: Cross multiply
    1,313.60x = 1,811.26 × 981.47
  4. Step 4: Simplify right side
    1,313.60x = 1,777,685.84
  5. Step 5: Solve for x
    x = 1,777,685.84/1,313.60
  6. Step 6: Final answer
    x = 1,353.30

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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.