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Finding the Fourth Proportional to 1,952.07, 2,927.81 and 653.55

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Solution

The fourth proportional to 1,952.07, 2,927.81 and 653.55 is: 980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.07 : 2,927.81 = 653.55 : x
  2. Step 2: Convert to fraction form
    1,952.07/2,927.81 = 653.55/x
  3. Step 3: Cross multiply
    1,952.07x = 2,927.81 × 653.55
  4. Step 4: Simplify right side
    1,952.07x = 1,913,466.96
  5. Step 5: Solve for x
    x = 1,913,466.96/1,952.07
  6. Step 6: Final answer
    x = 980.22

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1.5x scale

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.