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Finding the Fourth Proportional to 1,320.84, 1,981.56 and 910.14

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Solution

The fourth proportional to 1,320.84, 1,981.56 and 910.14 is: 1,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.84 : 1,981.56 = 910.14 : x
  2. Step 2: Convert to fraction form
    1,320.84/1,981.56 = 910.14/x
  3. Step 3: Cross multiply
    1,320.84x = 1,981.56 × 910.14
  4. Step 4: Simplify right side
    1,320.84x = 1,803,497.02
  5. Step 5: Solve for x
    x = 1,803,497.02/1,320.84
  6. Step 6: Final answer
    x = 1,365.42

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1.5x scale

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.