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Finding the Fourth Proportional to 9,749.60, 14,600.10 and 9,312.20

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Solution

The fourth proportional to 9,749.60, 14,600.10 and 9,312.20 is: 13,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.60 : 14,600.10 = 9,312.20 : x
  2. Step 2: Convert to fraction form
    9,749.60/14,600.10 = 9,312.20/x
  3. Step 3: Cross multiply
    9,749.60x = 14,600.10 × 9,312.20
  4. Step 4: Simplify right side
    9,749.60x = 135,959,051.22
  5. Step 5: Solve for x
    x = 135,959,051.22/9,749.60
  6. Step 6: Final answer
    x = 13,945.09

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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.