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Finding the Fourth Proportional to 3,602.61, 4,975.70 and 2,421.63

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Solution

The fourth proportional to 3,602.61, 4,975.70 and 2,421.63 is: 3,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.61 : 4,975.70 = 2,421.63 : x
  2. Step 2: Convert to fraction form
    3,602.61/4,975.70 = 2,421.63/x
  3. Step 3: Cross multiply
    3,602.61x = 4,975.70 × 2,421.63
  4. Step 4: Simplify right side
    3,602.61x = 12,049,304.39
  5. Step 5: Solve for x
    x = 12,049,304.39/3,602.61
  6. Step 6: Final answer
    x = 3,344.60

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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.