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Finding the Fourth Proportional to 13,031.68, 17,983.92 and 7,442.68

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Solution

The fourth proportional to 13,031.68, 17,983.92 and 7,442.68 is: 10,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.68 : 17,983.92 = 7,442.68 : x
  2. Step 2: Convert to fraction form
    13,031.68/17,983.92 = 7,442.68/x
  3. Step 3: Cross multiply
    13,031.68x = 17,983.92 × 7,442.68
  4. Step 4: Simplify right side
    13,031.68x = 133,848,561.71
  5. Step 5: Solve for x
    x = 133,848,561.71/13,031.68
  6. Step 6: Final answer
    x = 10,271.01

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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.