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Finding the Fourth Proportional to 6,658.49, 9,970.70 and 6,461.43

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Solution

The fourth proportional to 6,658.49, 9,970.70 and 6,461.43 is: 9,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.49 : 9,970.70 = 6,461.43 : x
  2. Step 2: Convert to fraction form
    6,658.49/9,970.70 = 6,461.43/x
  3. Step 3: Cross multiply
    6,658.49x = 9,970.70 × 6,461.43
  4. Step 4: Simplify right side
    6,658.49x = 64,424,947.79
  5. Step 5: Solve for x
    x = 64,424,947.79/6,658.49
  6. Step 6: Final answer
    x = 9,675.62

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1.5x scale

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.