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Finding the Fourth Proportional to 9,876.60, 14,778.90 and 7,284.60

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Solution

The fourth proportional to 9,876.60, 14,778.90 and 7,284.60 is: 10,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.60 : 14,778.90 = 7,284.60 : x
  2. Step 2: Convert to fraction form
    9,876.60/14,778.90 = 7,284.60/x
  3. Step 3: Cross multiply
    9,876.60x = 14,778.90 × 7,284.60
  4. Step 4: Simplify right side
    9,876.60x = 107,658,374.94
  5. Step 5: Solve for x
    x = 107,658,374.94/9,876.60
  6. Step 6: Final answer
    x = 10,900.35

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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.