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Finding the Fourth Proportional to 7,810.71, 11,712.98 and 3,368.72

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Solution

The fourth proportional to 7,810.71, 11,712.98 and 3,368.72 is: 5,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.71 : 11,712.98 = 3,368.72 : x
  2. Step 2: Convert to fraction form
    7,810.71/11,712.98 = 3,368.72/x
  3. Step 3: Cross multiply
    7,810.71x = 11,712.98 × 3,368.72
  4. Step 4: Simplify right side
    7,810.71x = 39,457,674.58
  5. Step 5: Solve for x
    x = 39,457,674.58/7,810.71
  6. Step 6: Final answer
    x = 5,051.74

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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.