Home / 1,510.49-2,267.56-923.65

Finding the Fourth Proportional to 1,510.49, 2,267.56 and 923.65

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Solution

The fourth proportional to 1,510.49, 2,267.56 and 923.65 is: 1,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.49 : 2,267.56 = 923.65 : x
  2. Step 2: Convert to fraction form
    1,510.49/2,267.56 = 923.65/x
  3. Step 3: Cross multiply
    1,510.49x = 2,267.56 × 923.65
  4. Step 4: Simplify right side
    1,510.49x = 2,094,431.79
  5. Step 5: Solve for x
    x = 2,094,431.79/1,510.49
  6. Step 6: Final answer
    x = 1,386.59

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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.