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Finding the Fourth Proportional to 9,768.70, 13,486.92 and 7,526.32

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Solution

The fourth proportional to 9,768.70, 13,486.92 and 7,526.32 is: 10,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.70 : 13,486.92 = 7,526.32 : x
  2. Step 2: Convert to fraction form
    9,768.70/13,486.92 = 7,526.32/x
  3. Step 3: Cross multiply
    9,768.70x = 13,486.92 × 7,526.32
  4. Step 4: Simplify right side
    9,768.70x = 101,506,875.73
  5. Step 5: Solve for x
    x = 101,506,875.73/9,768.70
  6. Step 6: Final answer
    x = 10,391.03

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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.