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Finding the Fourth Proportional to 10,438.80, 14,405.64 and 5,723.16

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Solution

The fourth proportional to 10,438.80, 14,405.64 and 5,723.16 is: 7,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.80 : 14,405.64 = 5,723.16 : x
  2. Step 2: Convert to fraction form
    10,438.80/14,405.64 = 5,723.16/x
  3. Step 3: Cross multiply
    10,438.80x = 14,405.64 × 5,723.16
  4. Step 4: Simplify right side
    10,438.80x = 82,445,782.62
  5. Step 5: Solve for x
    x = 82,445,782.62/10,438.80
  6. Step 6: Final answer
    x = 7,898.01

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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.