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Finding the Fourth Proportional to 2,627.60, 3,681.20 and 2,627.60

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Solution

The fourth proportional to 2,627.60, 3,681.20 and 2,627.60 is: 3,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.60 : 3,681.20 = 2,627.60 : x
  2. Step 2: Convert to fraction form
    2,627.60/3,681.20 = 2,627.60/x
  3. Step 3: Cross multiply
    2,627.60x = 3,681.20 × 2,627.60
  4. Step 4: Simplify right side
    2,627.60x = 9,672,721.12
  5. Step 5: Solve for x
    x = 9,672,721.12/2,627.60
  6. Step 6: Final answer
    x = 3,681.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.