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Finding the Fourth Proportional to 8,657.64, 12,985.20 and 2,813.40

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Solution

The fourth proportional to 8,657.64, 12,985.20 and 2,813.40 is: 4,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.64 : 12,985.20 = 2,813.40 : x
  2. Step 2: Convert to fraction form
    8,657.64/12,985.20 = 2,813.40/x
  3. Step 3: Cross multiply
    8,657.64x = 12,985.20 × 2,813.40
  4. Step 4: Simplify right side
    8,657.64x = 36,532,561.68
  5. Step 5: Solve for x
    x = 36,532,561.68/8,657.64
  6. Step 6: Final answer
    x = 4,219.69

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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.