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Finding the Fourth Proportional to 12,807.60, 19,211.40 and 5,784.90

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Solution

The fourth proportional to 12,807.60, 19,211.40 and 5,784.90 is: 8,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.60 : 19,211.40 = 5,784.90 : x
  2. Step 2: Convert to fraction form
    12,807.60/19,211.40 = 5,784.90/x
  3. Step 3: Cross multiply
    12,807.60x = 19,211.40 × 5,784.90
  4. Step 4: Simplify right side
    12,807.60x = 111,136,027.86
  5. Step 5: Solve for x
    x = 111,136,027.86/12,807.60
  6. Step 6: Final answer
    x = 8,677.35

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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.