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Finding the Fourth Proportional to 8,702.50, 12,019.35 and 5,903.14

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Solution

The fourth proportional to 8,702.50, 12,019.35 and 5,903.14 is: 8,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.50 : 12,019.35 = 5,903.14 : x
  2. Step 2: Convert to fraction form
    8,702.50/12,019.35 = 5,903.14/x
  3. Step 3: Cross multiply
    8,702.50x = 12,019.35 × 5,903.14
  4. Step 4: Simplify right side
    8,702.50x = 70,951,905.76
  5. Step 5: Solve for x
    x = 70,951,905.76/8,702.50
  6. Step 6: Final answer
    x = 8,153.05

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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.