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Finding the Fourth Proportional to 14,243.73, 19,656.02 and 7,870.86

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Solution

The fourth proportional to 14,243.73, 19,656.02 and 7,870.86 is: 10,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.73 : 19,656.02 = 7,870.86 : x
  2. Step 2: Convert to fraction form
    14,243.73/19,656.02 = 7,870.86/x
  3. Step 3: Cross multiply
    14,243.73x = 19,656.02 × 7,870.86
  4. Step 4: Simplify right side
    14,243.73x = 154,709,742.22
  5. Step 5: Solve for x
    x = 154,709,742.22/14,243.73
  6. Step 6: Final answer
    x = 10,861.60

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1.5x scale

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.