Home / 1,710.42-2,564.38-1,381.76

Finding the Fourth Proportional to 1,710.42, 2,564.38 and 1,381.76

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Solution

The fourth proportional to 1,710.42, 2,564.38 and 1,381.76 is: 2,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.42 : 2,564.38 = 1,381.76 : x
  2. Step 2: Convert to fraction form
    1,710.42/2,564.38 = 1,381.76/x
  3. Step 3: Cross multiply
    1,710.42x = 2,564.38 × 1,381.76
  4. Step 4: Simplify right side
    1,710.42x = 3,543,357.71
  5. Step 5: Solve for x
    x = 3,543,357.71/1,710.42
  6. Step 6: Final answer
    x = 2,071.63

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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.