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Finding the Fourth Proportional to 13,009.85, 17,953.64 and 7,041.51

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Solution

The fourth proportional to 13,009.85, 17,953.64 and 7,041.51 is: 9,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.85 : 17,953.64 = 7,041.51 : x
  2. Step 2: Convert to fraction form
    13,009.85/17,953.64 = 7,041.51/x
  3. Step 3: Cross multiply
    13,009.85x = 17,953.64 × 7,041.51
  4. Step 4: Simplify right side
    13,009.85x = 126,420,767.71
  5. Step 5: Solve for x
    x = 126,420,767.71/13,009.85
  6. Step 6: Final answer
    x = 9,717.31

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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.