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Finding the Fourth Proportional to 8,642.50, 12,970.67 and 3,964.71

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Solution

The fourth proportional to 8,642.50, 12,970.67 and 3,964.71 is: 5,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.50 : 12,970.67 = 3,964.71 : x
  2. Step 2: Convert to fraction form
    8,642.50/12,970.67 = 3,964.71/x
  3. Step 3: Cross multiply
    8,642.50x = 12,970.67 × 3,964.71
  4. Step 4: Simplify right side
    8,642.50x = 51,424,925.23
  5. Step 5: Solve for x
    x = 51,424,925.23/8,642.50
  6. Step 6: Final answer
    x = 5,950.24

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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.