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Finding the Fourth Proportional to 13,570.29, 18,723.60 and 7,829.51

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Solution

The fourth proportional to 13,570.29, 18,723.60 and 7,829.51 is: 10,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.29 : 18,723.60 = 7,829.51 : x
  2. Step 2: Convert to fraction form
    13,570.29/18,723.60 = 7,829.51/x
  3. Step 3: Cross multiply
    13,570.29x = 18,723.60 × 7,829.51
  4. Step 4: Simplify right side
    13,570.29x = 146,596,519.82
  5. Step 5: Solve for x
    x = 146,596,519.82/13,570.29
  6. Step 6: Final answer
    x = 10,802.76

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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.