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Finding the Fourth Proportional to 1,943.93, 2,915.12 and 847.52

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Solution

The fourth proportional to 1,943.93, 2,915.12 and 847.52 is: 1,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.93 : 2,915.12 = 847.52 : x
  2. Step 2: Convert to fraction form
    1,943.93/2,915.12 = 847.52/x
  3. Step 3: Cross multiply
    1,943.93x = 2,915.12 × 847.52
  4. Step 4: Simplify right side
    1,943.93x = 2,470,618.26
  5. Step 5: Solve for x
    x = 2,470,618.26/1,943.93
  6. Step 6: Final answer
    x = 1,270.94

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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.