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Finding the Fourth Proportional to 12,437.80, 18,656.08 and 4,646

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Solution

The fourth proportional to 12,437.80, 18,656.08 and 4,646 is: 6,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.80 : 18,656.08 = 4,646 : x
  2. Step 2: Convert to fraction form
    12,437.80/18,656.08 = 4,646/x
  3. Step 3: Cross multiply
    12,437.80x = 18,656.08 × 4,646
  4. Step 4: Simplify right side
    12,437.80x = 86,676,147.68
  5. Step 5: Solve for x
    x = 86,676,147.68/12,437.80
  6. Step 6: Final answer
    x = 6,968.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.