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Finding the Fourth Proportional to 9,403.68, 12,881.40 and 9,300

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Solution

The fourth proportional to 9,403.68, 12,881.40 and 9,300 is: 12,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.68 : 12,881.40 = 9,300 : x
  2. Step 2: Convert to fraction form
    9,403.68/12,881.40 = 9,300/x
  3. Step 3: Cross multiply
    9,403.68x = 12,881.40 × 9,300
  4. Step 4: Simplify right side
    9,403.68x = 119,797,020
  5. Step 5: Solve for x
    x = 119,797,020/9,403.68
  6. Step 6: Final answer
    x = 12,739.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.