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Finding the Fourth Proportional to 7,267.80, 10,005 and 6,521.52

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Solution

The fourth proportional to 7,267.80, 10,005 and 6,521.52 is: 8,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.80 : 10,005 = 6,521.52 : x
  2. Step 2: Convert to fraction form
    7,267.80/10,005 = 6,521.52/x
  3. Step 3: Cross multiply
    7,267.80x = 10,005 × 6,521.52
  4. Step 4: Simplify right side
    7,267.80x = 65,247,807.60
  5. Step 5: Solve for x
    x = 65,247,807.60/7,267.80
  6. Step 6: Final answer
    x = 8,977.66

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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.