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Finding the Fourth Proportional to 9,973.66, 13,760.79 and 6,438.88

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Solution

The fourth proportional to 9,973.66, 13,760.79 and 6,438.88 is: 8,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.66 : 13,760.79 = 6,438.88 : x
  2. Step 2: Convert to fraction form
    9,973.66/13,760.79 = 6,438.88/x
  3. Step 3: Cross multiply
    9,973.66x = 13,760.79 × 6,438.88
  4. Step 4: Simplify right side
    9,973.66x = 88,604,075.52
  5. Step 5: Solve for x
    x = 88,604,075.52/9,973.66
  6. Step 6: Final answer
    x = 8,883.81

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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.