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Finding the Fourth Proportional to 2,669.77, 3,685.13 and 1,830.16

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Solution

The fourth proportional to 2,669.77, 3,685.13 and 1,830.16 is: 2,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.77 : 3,685.13 = 1,830.16 : x
  2. Step 2: Convert to fraction form
    2,669.77/3,685.13 = 1,830.16/x
  3. Step 3: Cross multiply
    2,669.77x = 3,685.13 × 1,830.16
  4. Step 4: Simplify right side
    2,669.77x = 6,744,377.52
  5. Step 5: Solve for x
    x = 6,744,377.52/2,669.77
  6. Step 6: Final answer
    x = 2,526.20

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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.