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Finding the Fourth Proportional to 10,656.64, 15,986.16 and 8,698.93

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Solution

The fourth proportional to 10,656.64, 15,986.16 and 8,698.93 is: 13,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.64 : 15,986.16 = 8,698.93 : x
  2. Step 2: Convert to fraction form
    10,656.64/15,986.16 = 8,698.93/x
  3. Step 3: Cross multiply
    10,656.64x = 15,986.16 × 8,698.93
  4. Step 4: Simplify right side
    10,656.64x = 139,062,504.14
  5. Step 5: Solve for x
    x = 139,062,504.14/10,656.64
  6. Step 6: Final answer
    x = 13,049.38

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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.