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Finding the Fourth Proportional to 9,894.60, 14,835.20 and 5,209.65

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Solution

The fourth proportional to 9,894.60, 14,835.20 and 5,209.65 is: 7,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.60 : 14,835.20 = 5,209.65 : x
  2. Step 2: Convert to fraction form
    9,894.60/14,835.20 = 5,209.65/x
  3. Step 3: Cross multiply
    9,894.60x = 14,835.20 × 5,209.65
  4. Step 4: Simplify right side
    9,894.60x = 77,286,173.63
  5. Step 5: Solve for x
    x = 77,286,173.63/9,894.60
  6. Step 6: Final answer
    x = 7,810.94

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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.