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Finding the Fourth Proportional to 1,880.40, 2,627.70 and 1,880.40

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Solution

The fourth proportional to 1,880.40, 2,627.70 and 1,880.40 is: 2,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.40 : 2,627.70 = 1,880.40 : x
  2. Step 2: Convert to fraction form
    1,880.40/2,627.70 = 1,880.40/x
  3. Step 3: Cross multiply
    1,880.40x = 2,627.70 × 1,880.40
  4. Step 4: Simplify right side
    1,880.40x = 4,941,127.08
  5. Step 5: Solve for x
    x = 4,941,127.08/1,880.40
  6. Step 6: Final answer
    x = 2,627.70

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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.