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Finding the Fourth Proportional to 3,526.64, 4,866.74 and 2,129.64

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Solution

The fourth proportional to 3,526.64, 4,866.74 and 2,129.64 is: 2,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.64 : 4,866.74 = 2,129.64 : x
  2. Step 2: Convert to fraction form
    3,526.64/4,866.74 = 2,129.64/x
  3. Step 3: Cross multiply
    3,526.64x = 4,866.74 × 2,129.64
  4. Step 4: Simplify right side
    3,526.64x = 10,364,404.17
  5. Step 5: Solve for x
    x = 10,364,404.17/3,526.64
  6. Step 6: Final answer
    x = 2,938.89

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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.