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Finding the Fourth Proportional to 2,656.80, 3,666.30 and 1,477.86

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Solution

The fourth proportional to 2,656.80, 3,666.30 and 1,477.86 is: 2,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.80 : 3,666.30 = 1,477.86 : x
  2. Step 2: Convert to fraction form
    2,656.80/3,666.30 = 1,477.86/x
  3. Step 3: Cross multiply
    2,656.80x = 3,666.30 × 1,477.86
  4. Step 4: Simplify right side
    2,656.80x = 5,418,278.12
  5. Step 5: Solve for x
    x = 5,418,278.12/2,656.80
  6. Step 6: Final answer
    x = 2,039.40

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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.