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Finding the Fourth Proportional to 19,657, 29,490.36 and 6,510.70

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Solution

The fourth proportional to 19,657, 29,490.36 and 6,510.70 is: 9,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657 : 29,490.36 = 6,510.70 : x
  2. Step 2: Convert to fraction form
    19,657/29,490.36 = 6,510.70/x
  3. Step 3: Cross multiply
    19,657x = 29,490.36 × 6,510.70
  4. Step 4: Simplify right side
    19,657x = 192,002,886.85
  5. Step 5: Solve for x
    x = 192,002,886.85/19,657
  6. Step 6: Final answer
    x = 9,767.66

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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.