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Finding the Fourth Proportional to 9,919.60, 14,791.76 and 9,830.56

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Solution

The fourth proportional to 9,919.60, 14,791.76 and 9,830.56 is: 14,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.60 : 14,791.76 = 9,830.56 : x
  2. Step 2: Convert to fraction form
    9,919.60/14,791.76 = 9,830.56/x
  3. Step 3: Cross multiply
    9,919.60x = 14,791.76 × 9,830.56
  4. Step 4: Simplify right side
    9,919.60x = 145,411,284.19
  5. Step 5: Solve for x
    x = 145,411,284.19/9,919.60
  6. Step 6: Final answer
    x = 14,658.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.