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Finding the Fourth Proportional to 10,027.80, 15,078.15 and 9,809.10

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Solution

The fourth proportional to 10,027.80, 15,078.15 and 9,809.10 is: 14,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.80 : 15,078.15 = 9,809.10 : x
  2. Step 2: Convert to fraction form
    10,027.80/15,078.15 = 9,809.10/x
  3. Step 3: Cross multiply
    10,027.80x = 15,078.15 × 9,809.10
  4. Step 4: Simplify right side
    10,027.80x = 147,903,081.17
  5. Step 5: Solve for x
    x = 147,903,081.17/10,027.80
  6. Step 6: Final answer
    x = 14,749.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.