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Finding the Fourth Proportional to 9,411.76, 13,047.07 and 9,042.40

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Solution

The fourth proportional to 9,411.76, 13,047.07 and 9,042.40 is: 12,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.76 : 13,047.07 = 9,042.40 : x
  2. Step 2: Convert to fraction form
    9,411.76/13,047.07 = 9,042.40/x
  3. Step 3: Cross multiply
    9,411.76x = 13,047.07 × 9,042.40
  4. Step 4: Simplify right side
    9,411.76x = 117,976,825.77
  5. Step 5: Solve for x
    x = 117,976,825.77/9,411.76
  6. Step 6: Final answer
    x = 12,535.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.