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Finding the Fourth Proportional to 19,314, 28,948.86 and 8,772.66

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Solution

The fourth proportional to 19,314, 28,948.86 and 8,772.66 is: 13,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314 : 28,948.86 = 8,772.66 : x
  2. Step 2: Convert to fraction form
    19,314/28,948.86 = 8,772.66/x
  3. Step 3: Cross multiply
    19,314x = 28,948.86 × 8,772.66
  4. Step 4: Simplify right side
    19,314x = 253,958,506.17
  5. Step 5: Solve for x
    x = 253,958,506.17/19,314
  6. Step 6: Final answer
    x = 13,148.93

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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.