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Finding the Fourth Proportional to 10,447.99, 15,728.99 and 9,529.45

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Solution

The fourth proportional to 10,447.99, 15,728.99 and 9,529.45 is: 14,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.99 : 15,728.99 = 9,529.45 : x
  2. Step 2: Convert to fraction form
    10,447.99/15,728.99 = 9,529.45/x
  3. Step 3: Cross multiply
    10,447.99x = 15,728.99 × 9,529.45
  4. Step 4: Simplify right side
    10,447.99x = 149,888,536.79
  5. Step 5: Solve for x
    x = 149,888,536.79/10,447.99
  6. Step 6: Final answer
    x = 14,346.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.