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Finding the Fourth Proportional to 10,709, 14,762.22 and 9,208.88

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Solution

The fourth proportional to 10,709, 14,762.22 and 9,208.88 is: 12,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709 : 14,762.22 = 9,208.88 : x
  2. Step 2: Convert to fraction form
    10,709/14,762.22 = 9,208.88/x
  3. Step 3: Cross multiply
    10,709x = 14,762.22 × 9,208.88
  4. Step 4: Simplify right side
    10,709x = 135,943,512.51
  5. Step 5: Solve for x
    x = 135,943,512.51/10,709
  6. Step 6: Final answer
    x = 12,694.32

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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.