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Finding the Fourth Proportional to 11,549.01, 15,946.16 and 7,078.86

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Solution

The fourth proportional to 11,549.01, 15,946.16 and 7,078.86 is: 9,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.01 : 15,946.16 = 7,078.86 : x
  2. Step 2: Convert to fraction form
    11,549.01/15,946.16 = 7,078.86/x
  3. Step 3: Cross multiply
    11,549.01x = 15,946.16 × 7,078.86
  4. Step 4: Simplify right side
    11,549.01x = 112,880,634.18
  5. Step 5: Solve for x
    x = 112,880,634.18/11,549.01
  6. Step 6: Final answer
    x = 9,774.05

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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.