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Finding the Fourth Proportional to 10,970.60, 16,455.90 and 10,125.80

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Solution

The fourth proportional to 10,970.60, 16,455.90 and 10,125.80 is: 15,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.60 : 16,455.90 = 10,125.80 : x
  2. Step 2: Convert to fraction form
    10,970.60/16,455.90 = 10,125.80/x
  3. Step 3: Cross multiply
    10,970.60x = 16,455.90 × 10,125.80
  4. Step 4: Simplify right side
    10,970.60x = 166,629,152.22
  5. Step 5: Solve for x
    x = 166,629,152.22/10,970.60
  6. Step 6: Final answer
    x = 15,188.70

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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.