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Finding the Fourth Proportional to 2,114.30, 3,171.47 and 653.45

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Solution

The fourth proportional to 2,114.30, 3,171.47 and 653.45 is: 980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.30 : 3,171.47 = 653.45 : x
  2. Step 2: Convert to fraction form
    2,114.30/3,171.47 = 653.45/x
  3. Step 3: Cross multiply
    2,114.30x = 3,171.47 × 653.45
  4. Step 4: Simplify right side
    2,114.30x = 2,072,397.07
  5. Step 5: Solve for x
    x = 2,072,397.07/2,114.30
  6. Step 6: Final answer
    x = 980.18

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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.