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Finding the Fourth Proportional to 9,411.66, 12,977.28 and 6,429.24

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Solution

The fourth proportional to 9,411.66, 12,977.28 and 6,429.24 is: 8,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.66 : 12,977.28 = 6,429.24 : x
  2. Step 2: Convert to fraction form
    9,411.66/12,977.28 = 6,429.24/x
  3. Step 3: Cross multiply
    9,411.66x = 12,977.28 × 6,429.24
  4. Step 4: Simplify right side
    9,411.66x = 83,434,047.67
  5. Step 5: Solve for x
    x = 83,434,047.67/9,411.66
  6. Step 6: Final answer
    x = 8,864.97

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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.