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Finding the Fourth Proportional to 2,656.68, 3,666.24 and 1,477.74

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Solution

The fourth proportional to 2,656.68, 3,666.24 and 1,477.74 is: 2,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.68 : 3,666.24 = 1,477.74 : x
  2. Step 2: Convert to fraction form
    2,656.68/3,666.24 = 1,477.74/x
  3. Step 3: Cross multiply
    2,656.68x = 3,666.24 × 1,477.74
  4. Step 4: Simplify right side
    2,656.68x = 5,417,749.50
  5. Step 5: Solve for x
    x = 5,417,749.50/2,656.68
  6. Step 6: Final answer
    x = 2,039.29

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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.