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Finding the Fourth Proportional to 11,462.16, 15,814.90 and 6,985.64

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Solution

The fourth proportional to 11,462.16, 15,814.90 and 6,985.64 is: 9,638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.16 : 15,814.90 = 6,985.64 : x
  2. Step 2: Convert to fraction form
    11,462.16/15,814.90 = 6,985.64/x
  3. Step 3: Cross multiply
    11,462.16x = 15,814.90 × 6,985.64
  4. Step 4: Simplify right side
    11,462.16x = 110,477,207.01
  5. Step 5: Solve for x
    x = 110,477,207.01/11,462.16
  6. Step 6: Final answer
    x = 9,638.43

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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.