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Finding the Fourth Proportional to 5,384.40, 8,031.28 and 5,220.40

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Solution

The fourth proportional to 5,384.40, 8,031.28 and 5,220.40 is: 7,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.40 : 8,031.28 = 5,220.40 : x
  2. Step 2: Convert to fraction form
    5,384.40/8,031.28 = 5,220.40/x
  3. Step 3: Cross multiply
    5,384.40x = 8,031.28 × 5,220.40
  4. Step 4: Simplify right side
    5,384.40x = 41,926,494.11
  5. Step 5: Solve for x
    x = 41,926,494.11/5,384.40
  6. Step 6: Final answer
    x = 7,786.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.