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Finding the Fourth Proportional to 12,658.86, 17,464.95 and 7,351.74

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Solution

The fourth proportional to 12,658.86, 17,464.95 and 7,351.74 is: 10,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.86 : 17,464.95 = 7,351.74 : x
  2. Step 2: Convert to fraction form
    12,658.86/17,464.95 = 7,351.74/x
  3. Step 3: Cross multiply
    12,658.86x = 17,464.95 × 7,351.74
  4. Step 4: Simplify right side
    12,658.86x = 128,397,771.51
  5. Step 5: Solve for x
    x = 128,397,771.51/12,658.86
  6. Step 6: Final answer
    x = 10,142.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.