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Finding the Fourth Proportional to 26,931.70, 40,400.88 and 9,165.34

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Solution

The fourth proportional to 26,931.70, 40,400.88 and 9,165.34 is: 13,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,931.70 : 40,400.88 = 9,165.34 : x
  2. Step 2: Convert to fraction form
    26,931.70/40,400.88 = 9,165.34/x
  3. Step 3: Cross multiply
    26,931.70x = 40,400.88 × 9,165.34
  4. Step 4: Simplify right side
    26,931.70x = 370,287,801.50
  5. Step 5: Solve for x
    x = 370,287,801.50/26,931.70
  6. Step 6: Final answer
    x = 13,749.14

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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.