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Finding the Fourth Proportional to 1,510.50, 2,087.00 and 1,343.23

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Solution

The fourth proportional to 1,510.50, 2,087.00 and 1,343.23 is: 1,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.50 : 2,087.00 = 1,343.23 : x
  2. Step 2: Convert to fraction form
    1,510.50/2,087.00 = 1,343.23/x
  3. Step 3: Cross multiply
    1,510.50x = 2,087.00 × 1,343.23
  4. Step 4: Simplify right side
    1,510.50x = 2,803,325.85
  5. Step 5: Solve for x
    x = 2,803,325.85/1,510.50
  6. Step 6: Final answer
    x = 1,855.89

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1.5x scale

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.