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Finding the Fourth Proportional to 6,277.76, 9,417.28 and 1,660.76

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Solution

The fourth proportional to 6,277.76, 9,417.28 and 1,660.76 is: 2,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.76 : 9,417.28 = 1,660.76 : x
  2. Step 2: Convert to fraction form
    6,277.76/9,417.28 = 1,660.76/x
  3. Step 3: Cross multiply
    6,277.76x = 9,417.28 × 1,660.76
  4. Step 4: Simplify right side
    6,277.76x = 15,639,841.93
  5. Step 5: Solve for x
    x = 15,639,841.93/6,277.76
  6. Step 6: Final answer
    x = 2,491.31

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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.