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Finding the Fourth Proportional to 12,603.03, 17,400.24 and 7,827.99

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Solution

The fourth proportional to 12,603.03, 17,400.24 and 7,827.99 is: 10,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.03 : 17,400.24 = 7,827.99 : x
  2. Step 2: Convert to fraction form
    12,603.03/17,400.24 = 7,827.99/x
  3. Step 3: Cross multiply
    12,603.03x = 17,400.24 × 7,827.99
  4. Step 4: Simplify right side
    12,603.03x = 136,208,904.72
  5. Step 5: Solve for x
    x = 136,208,904.72/12,603.03
  6. Step 6: Final answer
    x = 10,807.63

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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.