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Finding the Fourth Proportional to 7,712.05, 10,642.02 and 4,355.19

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Solution

The fourth proportional to 7,712.05, 10,642.02 and 4,355.19 is: 6,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.05 : 10,642.02 = 4,355.19 : x
  2. Step 2: Convert to fraction form
    7,712.05/10,642.02 = 4,355.19/x
  3. Step 3: Cross multiply
    7,712.05x = 10,642.02 × 4,355.19
  4. Step 4: Simplify right side
    7,712.05x = 46,348,051.06
  5. Step 5: Solve for x
    x = 46,348,051.06/7,712.05
  6. Step 6: Final answer
    x = 6,009.82

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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.