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Finding the Fourth Proportional to 1,312.39, 1,964.49 and 981.37

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Solution

The fourth proportional to 1,312.39, 1,964.49 and 981.37 is: 1,468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.39 : 1,964.49 = 981.37 : x
  2. Step 2: Convert to fraction form
    1,312.39/1,964.49 = 981.37/x
  3. Step 3: Cross multiply
    1,312.39x = 1,964.49 × 981.37
  4. Step 4: Simplify right side
    1,312.39x = 1,927,894.01
  5. Step 5: Solve for x
    x = 1,927,894.01/1,312.39
  6. Step 6: Final answer
    x = 1,468.99

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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.