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Finding the Fourth Proportional to 9,703.34, 13,390.80 and 7,581.34

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Solution

The fourth proportional to 9,703.34, 13,390.80 and 7,581.34 is: 10,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.34 : 13,390.80 = 7,581.34 : x
  2. Step 2: Convert to fraction form
    9,703.34/13,390.80 = 7,581.34/x
  3. Step 3: Cross multiply
    9,703.34x = 13,390.80 × 7,581.34
  4. Step 4: Simplify right side
    9,703.34x = 101,520,207.67
  5. Step 5: Solve for x
    x = 101,520,207.67/9,703.34
  6. Step 6: Final answer
    x = 10,462.40

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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.