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Finding the Fourth Proportional to 8,996.32, 13,503.12 and 8,430.40

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Solution

The fourth proportional to 8,996.32, 13,503.12 and 8,430.40 is: 12,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.32 : 13,503.12 = 8,430.40 : x
  2. Step 2: Convert to fraction form
    8,996.32/13,503.12 = 8,430.40/x
  3. Step 3: Cross multiply
    8,996.32x = 13,503.12 × 8,430.40
  4. Step 4: Simplify right side
    8,996.32x = 113,836,702.85
  5. Step 5: Solve for x
    x = 113,836,702.85/8,996.32
  6. Step 6: Final answer
    x = 12,653.70

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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.