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Finding the Fourth Proportional to 14,086, 19,438.68 and 7,798.78

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Solution

The fourth proportional to 14,086, 19,438.68 and 7,798.78 is: 10,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086 : 19,438.68 = 7,798.78 : x
  2. Step 2: Convert to fraction form
    14,086/19,438.68 = 7,798.78/x
  3. Step 3: Cross multiply
    14,086x = 19,438.68 × 7,798.78
  4. Step 4: Simplify right side
    14,086x = 151,597,988.81
  5. Step 5: Solve for x
    x = 151,597,988.81/14,086
  6. Step 6: Final answer
    x = 10,762.32

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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.