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Finding the Fourth Proportional to 1,681.70, 2,321.03 and 1,018.91

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Solution

The fourth proportional to 1,681.70, 2,321.03 and 1,018.91 is: 1,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.70 : 2,321.03 = 1,018.91 : x
  2. Step 2: Convert to fraction form
    1,681.70/2,321.03 = 1,018.91/x
  3. Step 3: Cross multiply
    1,681.70x = 2,321.03 × 1,018.91
  4. Step 4: Simplify right side
    1,681.70x = 2,364,929.03
  5. Step 5: Solve for x
    x = 2,364,929.03/1,681.70
  6. Step 6: Final answer
    x = 1,406.28

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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.