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Finding the Fourth Proportional to 12,687, 19,030.32 and 4,895.64

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Solution

The fourth proportional to 12,687, 19,030.32 and 4,895.64 is: 7,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687 : 19,030.32 = 4,895.64 : x
  2. Step 2: Convert to fraction form
    12,687/19,030.32 = 4,895.64/x
  3. Step 3: Cross multiply
    12,687x = 19,030.32 × 4,895.64
  4. Step 4: Simplify right side
    12,687x = 93,165,595.80
  5. Step 5: Solve for x
    x = 93,165,595.80/12,687
  6. Step 6: Final answer
    x = 7,343.39

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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.