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Finding the Fourth Proportional to 1,880.51, 2,820.11 and 647.63

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Solution

The fourth proportional to 1,880.51, 2,820.11 and 647.63 is: 971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.51 : 2,820.11 = 647.63 : x
  2. Step 2: Convert to fraction form
    1,880.51/2,820.11 = 647.63/x
  3. Step 3: Cross multiply
    1,880.51x = 2,820.11 × 647.63
  4. Step 4: Simplify right side
    1,880.51x = 1,826,370.50
  5. Step 5: Solve for x
    x = 1,826,370.50/1,880.51
  6. Step 6: Final answer
    x = 971.21

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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.