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Finding the Fourth Proportional to 8,670.44, 12,978.70 and 4,711.80

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Solution

The fourth proportional to 8,670.44, 12,978.70 and 4,711.80 is: 7,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.44 : 12,978.70 = 4,711.80 : x
  2. Step 2: Convert to fraction form
    8,670.44/12,978.70 = 4,711.80/x
  3. Step 3: Cross multiply
    8,670.44x = 12,978.70 × 4,711.80
  4. Step 4: Simplify right side
    8,670.44x = 61,153,038.66
  5. Step 5: Solve for x
    x = 61,153,038.66/8,670.44
  6. Step 6: Final answer
    x = 7,053.05

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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.