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Finding the Fourth Proportional to 9,764.78, 13,478.54 and 7,246.08

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Solution

The fourth proportional to 9,764.78, 13,478.54 and 7,246.08 is: 10,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.78 : 13,478.54 = 7,246.08 : x
  2. Step 2: Convert to fraction form
    9,764.78/13,478.54 = 7,246.08/x
  3. Step 3: Cross multiply
    9,764.78x = 13,478.54 × 7,246.08
  4. Step 4: Simplify right side
    9,764.78x = 97,666,542.89
  5. Step 5: Solve for x
    x = 97,666,542.89/9,764.78
  6. Step 6: Final answer
    x = 10,001.92

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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.