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Finding the Fourth Proportional to 2,663, 3,675.58 and 1,928.28

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Solution

The fourth proportional to 2,663, 3,675.58 and 1,928.28 is: 2,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663 : 3,675.58 = 1,928.28 : x
  2. Step 2: Convert to fraction form
    2,663/3,675.58 = 1,928.28/x
  3. Step 3: Cross multiply
    2,663x = 3,675.58 × 1,928.28
  4. Step 4: Simplify right side
    2,663x = 7,087,547.40
  5. Step 5: Solve for x
    x = 7,087,547.40/2,663
  6. Step 6: Final answer
    x = 2,661.49

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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.