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Finding the Fourth Proportional to 8,502.40, 12,763.20 and 6,563.20

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Solution

The fourth proportional to 8,502.40, 12,763.20 and 6,563.20 is: 9,852.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.40 : 12,763.20 = 6,563.20 : x
  2. Step 2: Convert to fraction form
    8,502.40/12,763.20 = 6,563.20/x
  3. Step 3: Cross multiply
    8,502.40x = 12,763.20 × 6,563.20
  4. Step 4: Simplify right side
    8,502.40x = 83,767,434.24
  5. Step 5: Solve for x
    x = 83,767,434.24/8,502.40
  6. Step 6: Final answer
    x = 9,852.21

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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.