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Finding the Fourth Proportional to 9,678.93, 13,352.09 and 6,136.53

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Solution

The fourth proportional to 9,678.93, 13,352.09 and 6,136.53 is: 8,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.93 : 13,352.09 = 6,136.53 : x
  2. Step 2: Convert to fraction form
    9,678.93/13,352.09 = 6,136.53/x
  3. Step 3: Cross multiply
    9,678.93x = 13,352.09 × 6,136.53
  4. Step 4: Simplify right side
    9,678.93x = 81,935,470.17
  5. Step 5: Solve for x
    x = 81,935,470.17/9,678.93
  6. Step 6: Final answer
    x = 8,465.34

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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.