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Finding the Fourth Proportional to 1,011.12, 1,386.24 and 992.67

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Solution

The fourth proportional to 1,011.12, 1,386.24 and 992.67 is: 1,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.12 : 1,386.24 = 992.67 : x
  2. Step 2: Convert to fraction form
    1,011.12/1,386.24 = 992.67/x
  3. Step 3: Cross multiply
    1,011.12x = 1,386.24 × 992.67
  4. Step 4: Simplify right side
    1,011.12x = 1,376,077.38
  5. Step 5: Solve for x
    x = 1,376,077.38/1,011.12
  6. Step 6: Final answer
    x = 1,360.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.