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Finding the Fourth Proportional to 1,681.98, 2,320.98 and 935.98

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Solution

The fourth proportional to 1,681.98, 2,320.98 and 935.98 is: 1,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.98 : 2,320.98 = 935.98 : x
  2. Step 2: Convert to fraction form
    1,681.98/2,320.98 = 935.98/x
  3. Step 3: Cross multiply
    1,681.98x = 2,320.98 × 935.98
  4. Step 4: Simplify right side
    1,681.98x = 2,172,390.86
  5. Step 5: Solve for x
    x = 2,172,390.86/1,681.98
  6. Step 6: Final answer
    x = 1,291.57

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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.