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Finding the Fourth Proportional to 7,131.65, 9,840.10 and 4,478.09

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Solution

The fourth proportional to 7,131.65, 9,840.10 and 4,478.09 is: 6,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.65 : 9,840.10 = 4,478.09 : x
  2. Step 2: Convert to fraction form
    7,131.65/9,840.10 = 4,478.09/x
  3. Step 3: Cross multiply
    7,131.65x = 9,840.10 × 4,478.09
  4. Step 4: Simplify right side
    7,131.65x = 44,064,831.02
  5. Step 5: Solve for x
    x = 44,064,831.02/7,131.65
  6. Step 6: Final answer
    x = 6,178.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.