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Finding the Fourth Proportional to 11,509.98, 15,883.10 and 6,405.36

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Solution

The fourth proportional to 11,509.98, 15,883.10 and 6,405.36 is: 8,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.98 : 15,883.10 = 6,405.36 : x
  2. Step 2: Convert to fraction form
    11,509.98/15,883.10 = 6,405.36/x
  3. Step 3: Cross multiply
    11,509.98x = 15,883.10 × 6,405.36
  4. Step 4: Simplify right side
    11,509.98x = 101,736,973.42
  5. Step 5: Solve for x
    x = 101,736,973.42/11,509.98
  6. Step 6: Final answer
    x = 8,839.02

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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.