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Finding the Fourth Proportional to 9,133, 12,603.54 and 5,407

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Solution

The fourth proportional to 9,133, 12,603.54 and 5,407 is: 7,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133 : 12,603.54 = 5,407 : x
  2. Step 2: Convert to fraction form
    9,133/12,603.54 = 5,407/x
  3. Step 3: Cross multiply
    9,133x = 12,603.54 × 5,407
  4. Step 4: Simplify right side
    9,133x = 68,147,340.78
  5. Step 5: Solve for x
    x = 68,147,340.78/9,133
  6. Step 6: Final answer
    x = 7,461.66

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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.