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Finding the Fourth Proportional to 9,389.76, 12,957.75 and 5,663.76

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Solution

The fourth proportional to 9,389.76, 12,957.75 and 5,663.76 is: 7,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.76 : 12,957.75 = 5,663.76 : x
  2. Step 2: Convert to fraction form
    9,389.76/12,957.75 = 5,663.76/x
  3. Step 3: Cross multiply
    9,389.76x = 12,957.75 × 5,663.76
  4. Step 4: Simplify right side
    9,389.76x = 73,389,586.14
  5. Step 5: Solve for x
    x = 73,389,586.14/9,389.76
  6. Step 6: Final answer
    x = 7,815.92

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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.