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Finding the Fourth Proportional to 42,649, 63,973.50 and 14,947

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Solution

The fourth proportional to 42,649, 63,973.50 and 14,947 is: 22,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,649 : 63,973.50 = 14,947 : x
  2. Step 2: Convert to fraction form
    42,649/63,973.50 = 14,947/x
  3. Step 3: Cross multiply
    42,649x = 63,973.50 × 14,947
  4. Step 4: Simplify right side
    42,649x = 956,211,904.50
  5. Step 5: Solve for x
    x = 956,211,904.50/42,649
  6. Step 6: Final answer
    x = 22,420.50

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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.