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Finding the Fourth Proportional to 9,164,689.65, 12,645,865.80 and 5,296,463.78

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Solution

The fourth proportional to 9,164,689.65, 12,645,865.80 and 5,296,463.78 is: 7,308,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164,689.65 : 12,645,865.80 = 5,296,463.78 : x
  2. Step 2: Convert to fraction form
    9,164,689.65/12,645,865.80 = 5,296,463.78/x
  3. Step 3: Cross multiply
    9,164,689.65x = 12,645,865.80 × 5,296,463.78
  4. Step 4: Simplify right side
    9,164,689.65x = 66,978,370,113,211.41
  5. Step 5: Solve for x
    x = 66,978,370,113,211.41/9,164,689.65
  6. Step 6: Final answer
    x = 7,308,307.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.