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Finding the Fourth Proportional to 2,681.85, 3,700.80 and 1,486.74

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Solution

The fourth proportional to 2,681.85, 3,700.80 and 1,486.74 is: 2,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.85 : 3,700.80 = 1,486.74 : x
  2. Step 2: Convert to fraction form
    2,681.85/3,700.80 = 1,486.74/x
  3. Step 3: Cross multiply
    2,681.85x = 3,700.80 × 1,486.74
  4. Step 4: Simplify right side
    2,681.85x = 5,502,127.39
  5. Step 5: Solve for x
    x = 5,502,127.39/2,681.85
  6. Step 6: Final answer
    x = 2,051.62

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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.