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Finding the Fourth Proportional to 9,686.42, 14,500.29 and 8,762.38

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Solution

The fourth proportional to 9,686.42, 14,500.29 and 8,762.38 is: 13,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.42 : 14,500.29 = 8,762.38 : x
  2. Step 2: Convert to fraction form
    9,686.42/14,500.29 = 8,762.38/x
  3. Step 3: Cross multiply
    9,686.42x = 14,500.29 × 8,762.38
  4. Step 4: Simplify right side
    9,686.42x = 127,057,051.09
  5. Step 5: Solve for x
    x = 127,057,051.09/9,686.42
  6. Step 6: Final answer
    x = 13,117.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.