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Finding the Fourth Proportional to 9,618.63, 13,282.70 and 7,078.47

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Solution

The fourth proportional to 9,618.63, 13,282.70 and 7,078.47 is: 9,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.63 : 13,282.70 = 7,078.47 : x
  2. Step 2: Convert to fraction form
    9,618.63/13,282.70 = 7,078.47/x
  3. Step 3: Cross multiply
    9,618.63x = 13,282.70 × 7,078.47
  4. Step 4: Simplify right side
    9,618.63x = 94,021,158.08
  5. Step 5: Solve for x
    x = 94,021,158.08/9,618.63
  6. Step 6: Final answer
    x = 9,774.90

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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.