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Finding the Fourth Proportional to 2,386.64, 3,281.64 and 2,036.72

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Solution

The fourth proportional to 2,386.64, 3,281.64 and 2,036.72 is: 2,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.64 : 3,281.64 = 2,036.72 : x
  2. Step 2: Convert to fraction form
    2,386.64/3,281.64 = 2,036.72/x
  3. Step 3: Cross multiply
    2,386.64x = 3,281.64 × 2,036.72
  4. Step 4: Simplify right side
    2,386.64x = 6,683,781.82
  5. Step 5: Solve for x
    x = 6,683,781.82/2,386.64
  6. Step 6: Final answer
    x = 2,800.50

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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.