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Finding the Fourth Proportional to 13,165.32, 19,748.34 and 7,358.88

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Solution

The fourth proportional to 13,165.32, 19,748.34 and 7,358.88 is: 11,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.32 : 19,748.34 = 7,358.88 : x
  2. Step 2: Convert to fraction form
    13,165.32/19,748.34 = 7,358.88/x
  3. Step 3: Cross multiply
    13,165.32x = 19,748.34 × 7,358.88
  4. Step 4: Simplify right side
    13,165.32x = 145,325,664.26
  5. Step 5: Solve for x
    x = 145,325,664.26/13,165.32
  6. Step 6: Final answer
    x = 11,038.52

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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.