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Finding the Fourth Proportional to 6,406.61, 9,605.13 and 4,320.76

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Solution

The fourth proportional to 6,406.61, 9,605.13 and 4,320.76 is: 6,477.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.61 : 9,605.13 = 4,320.76 : x
  2. Step 2: Convert to fraction form
    6,406.61/9,605.13 = 4,320.76/x
  3. Step 3: Cross multiply
    6,406.61x = 9,605.13 × 4,320.76
  4. Step 4: Simplify right side
    6,406.61x = 41,501,463.60
  5. Step 5: Solve for x
    x = 41,501,463.60/6,406.61
  6. Step 6: Final answer
    x = 6,477.91

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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.