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Finding the Fourth Proportional to 12,693, 19,039.32 and 4,901.64

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Solution

The fourth proportional to 12,693, 19,039.32 and 4,901.64 is: 7,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693 : 19,039.32 = 4,901.64 : x
  2. Step 2: Convert to fraction form
    12,693/19,039.32 = 4,901.64/x
  3. Step 3: Cross multiply
    12,693x = 19,039.32 × 4,901.64
  4. Step 4: Simplify right side
    12,693x = 93,323,892.48
  5. Step 5: Solve for x
    x = 93,323,892.48/12,693
  6. Step 6: Final answer
    x = 7,352.39

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1.5x scale

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.