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Finding the Fourth Proportional to 9,873.20, 14,804.76 and 2,946.80

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Solution

The fourth proportional to 9,873.20, 14,804.76 and 2,946.80 is: 4,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.20 : 14,804.76 = 2,946.80 : x
  2. Step 2: Convert to fraction form
    9,873.20/14,804.76 = 2,946.80/x
  3. Step 3: Cross multiply
    9,873.20x = 14,804.76 × 2,946.80
  4. Step 4: Simplify right side
    9,873.20x = 43,626,666.77
  5. Step 5: Solve for x
    x = 43,626,666.77/9,873.20
  6. Step 6: Final answer
    x = 4,418.70

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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.