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Finding the Fourth Proportional to 30,447.86, 45,653.54 and 12,657.06

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Solution

The fourth proportional to 30,447.86, 45,653.54 and 12,657.06 is: 18,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.86 : 45,653.54 = 12,657.06 : x
  2. Step 2: Convert to fraction form
    30,447.86/45,653.54 = 12,657.06/x
  3. Step 3: Cross multiply
    30,447.86x = 45,653.54 × 12,657.06
  4. Step 4: Simplify right side
    30,447.86x = 577,839,531.71
  5. Step 5: Solve for x
    x = 577,839,531.71/30,447.86
  6. Step 6: Final answer
    x = 18,978.00

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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.