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Finding the Fourth Proportional to 10,584.70, 15,877.05 and 8,616.40

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Solution

The fourth proportional to 10,584.70, 15,877.05 and 8,616.40 is: 12,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.70 : 15,877.05 = 8,616.40 : x
  2. Step 2: Convert to fraction form
    10,584.70/15,877.05 = 8,616.40/x
  3. Step 3: Cross multiply
    10,584.70x = 15,877.05 × 8,616.40
  4. Step 4: Simplify right side
    10,584.70x = 136,803,013.62
  5. Step 5: Solve for x
    x = 136,803,013.62/10,584.70
  6. Step 6: Final answer
    x = 12,924.60

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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.