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Finding the Fourth Proportional to 7,840.48, 10,814.16 and 5,190.16

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Solution

The fourth proportional to 7,840.48, 10,814.16 and 5,190.16 is: 7,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.48 : 10,814.16 = 5,190.16 : x
  2. Step 2: Convert to fraction form
    7,840.48/10,814.16 = 5,190.16/x
  3. Step 3: Cross multiply
    7,840.48x = 10,814.16 × 5,190.16
  4. Step 4: Simplify right side
    7,840.48x = 56,127,220.67
  5. Step 5: Solve for x
    x = 56,127,220.67/7,840.48
  6. Step 6: Final answer
    x = 7,158.65

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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.