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Finding the Fourth Proportional to 19,656, 29,488.86 and 6,509.70

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Solution

The fourth proportional to 19,656, 29,488.86 and 6,509.70 is: 9,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656 : 29,488.86 = 6,509.70 : x
  2. Step 2: Convert to fraction form
    19,656/29,488.86 = 6,509.70/x
  3. Step 3: Cross multiply
    19,656x = 29,488.86 × 6,509.70
  4. Step 4: Simplify right side
    19,656x = 191,963,631.94
  5. Step 5: Solve for x
    x = 191,963,631.94/19,656
  6. Step 6: Final answer
    x = 9,766.16

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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.