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Finding the Fourth Proportional to 8,535.64, 12,782.04 and 5,406.16

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Solution

The fourth proportional to 8,535.64, 12,782.04 and 5,406.16 is: 8,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.64 : 12,782.04 = 5,406.16 : x
  2. Step 2: Convert to fraction form
    8,535.64/12,782.04 = 5,406.16/x
  3. Step 3: Cross multiply
    8,535.64x = 12,782.04 × 5,406.16
  4. Step 4: Simplify right side
    8,535.64x = 69,101,753.37
  5. Step 5: Solve for x
    x = 69,101,753.37/8,535.64
  6. Step 6: Final answer
    x = 8,095.67

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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.