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Finding the Fourth Proportional to 9,973.16, 13,760.10 and 6,438.38

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Solution

The fourth proportional to 9,973.16, 13,760.10 and 6,438.38 is: 8,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.16 : 13,760.10 = 6,438.38 : x
  2. Step 2: Convert to fraction form
    9,973.16/13,760.10 = 6,438.38/x
  3. Step 3: Cross multiply
    9,973.16x = 13,760.10 × 6,438.38
  4. Step 4: Simplify right side
    9,973.16x = 88,592,752.64
  5. Step 5: Solve for x
    x = 88,592,752.64/9,973.16
  6. Step 6: Final answer
    x = 8,883.12

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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.