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Finding the Fourth Proportional to 5,742.32, 7,920.64 and 4,146.34

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Solution

The fourth proportional to 5,742.32, 7,920.64 and 4,146.34 is: 5,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.32 : 7,920.64 = 4,146.34 : x
  2. Step 2: Convert to fraction form
    5,742.32/7,920.64 = 4,146.34/x
  3. Step 3: Cross multiply
    5,742.32x = 7,920.64 × 4,146.34
  4. Step 4: Simplify right side
    5,742.32x = 32,841,666.46
  5. Step 5: Solve for x
    x = 32,841,666.46/5,742.32
  6. Step 6: Final answer
    x = 5,719.23

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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.