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Finding the Fourth Proportional to 10,549.77, 14,561.10 and 6,076.10

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Solution

The fourth proportional to 10,549.77, 14,561.10 and 6,076.10 is: 8,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.77 : 14,561.10 = 6,076.10 : x
  2. Step 2: Convert to fraction form
    10,549.77/14,561.10 = 6,076.10/x
  3. Step 3: Cross multiply
    10,549.77x = 14,561.10 × 6,076.10
  4. Step 4: Simplify right side
    10,549.77x = 88,474,626.90
  5. Step 5: Solve for x
    x = 88,474,626.90/10,549.77
  6. Step 6: Final answer
    x = 8,386.40

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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.