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Finding the Fourth Proportional to 2,915.60, 4,021.04 and 1,971.14

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Solution

The fourth proportional to 2,915.60, 4,021.04 and 1,971.14 is: 2,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,915.60 : 4,021.04 = 1,971.14 : x
  2. Step 2: Convert to fraction form
    2,915.60/4,021.04 = 1,971.14/x
  3. Step 3: Cross multiply
    2,915.60x = 4,021.04 × 1,971.14
  4. Step 4: Simplify right side
    2,915.60x = 7,926,017.61
  5. Step 5: Solve for x
    x = 7,926,017.61/2,915.60
  6. Step 6: Final answer
    x = 2,718.49

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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.