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Finding the Fourth Proportional to 5,398.47, 7,457.81 and 4,275.81

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Solution

The fourth proportional to 5,398.47, 7,457.81 and 4,275.81 is: 5,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.47 : 7,457.81 = 4,275.81 : x
  2. Step 2: Convert to fraction form
    5,398.47/7,457.81 = 4,275.81/x
  3. Step 3: Cross multiply
    5,398.47x = 7,457.81 × 4,275.81
  4. Step 4: Simplify right side
    5,398.47x = 31,888,157.20
  5. Step 5: Solve for x
    x = 31,888,157.20/5,398.47
  6. Step 6: Final answer
    x = 5,906.89

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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.