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Finding the Fourth Proportional to 6,998,964.50, 9,658,571.14 and 3,779,700.50

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Solution

The fourth proportional to 6,998,964.50, 9,658,571.14 and 3,779,700.50 is: 5,215,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,964.50 : 9,658,571.14 = 3,779,700.50 : x
  2. Step 2: Convert to fraction form
    6,998,964.50/9,658,571.14 = 3,779,700.50/x
  3. Step 3: Cross multiply
    6,998,964.50x = 9,658,571.14 × 3,779,700.50
  4. Step 4: Simplify right side
    6,998,964.50x = 36,506,506,167,143.57
  5. Step 5: Solve for x
    x = 36,506,506,167,143.57/6,998,964.50
  6. Step 6: Final answer
    x = 5,215,986.76

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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.