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Finding the Fourth Proportional to 13,138.74, 19,708.29 and 7,332.30

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Solution

The fourth proportional to 13,138.74, 19,708.29 and 7,332.30 is: 10,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.74 : 19,708.29 = 7,332.30 : x
  2. Step 2: Convert to fraction form
    13,138.74/19,708.29 = 7,332.30/x
  3. Step 3: Cross multiply
    13,138.74x = 19,708.29 × 7,332.30
  4. Step 4: Simplify right side
    13,138.74x = 144,507,094.77
  5. Step 5: Solve for x
    x = 144,507,094.77/13,138.74
  6. Step 6: Final answer
    x = 10,998.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.