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Finding the Fourth Proportional to 8,509.60, 12,774.80 and 4,814.40

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Solution

The fourth proportional to 8,509.60, 12,774.80 and 4,814.40 is: 7,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.60 : 12,774.80 = 4,814.40 : x
  2. Step 2: Convert to fraction form
    8,509.60/12,774.80 = 4,814.40/x
  3. Step 3: Cross multiply
    8,509.60x = 12,774.80 × 4,814.40
  4. Step 4: Simplify right side
    8,509.60x = 61,502,997.12
  5. Step 5: Solve for x
    x = 61,502,997.12/8,509.60
  6. Step 6: Final answer
    x = 7,227.48

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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.