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Finding the Fourth Proportional to 9,721.88, 14,510.66 and 8,381.94

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Solution

The fourth proportional to 9,721.88, 14,510.66 and 8,381.94 is: 12,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.88 : 14,510.66 = 8,381.94 : x
  2. Step 2: Convert to fraction form
    9,721.88/14,510.66 = 8,381.94/x
  3. Step 3: Cross multiply
    9,721.88x = 14,510.66 × 8,381.94
  4. Step 4: Simplify right side
    9,721.88x = 121,627,385.16
  5. Step 5: Solve for x
    x = 121,627,385.16/9,721.88
  6. Step 6: Final answer
    x = 12,510.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.