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Finding the Fourth Proportional to 2,411.64, 3,326.40 and 1,886.76

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Solution

The fourth proportional to 2,411.64, 3,326.40 and 1,886.76 is: 2,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.64 : 3,326.40 = 1,886.76 : x
  2. Step 2: Convert to fraction form
    2,411.64/3,326.40 = 1,886.76/x
  3. Step 3: Cross multiply
    2,411.64x = 3,326.40 × 1,886.76
  4. Step 4: Simplify right side
    2,411.64x = 6,276,118.46
  5. Step 5: Solve for x
    x = 6,276,118.46/2,411.64
  6. Step 6: Final answer
    x = 2,602.43

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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.