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Finding the Fourth Proportional to 5,301, 7,315.38 and 2,943.64

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Solution

The fourth proportional to 5,301, 7,315.38 and 2,943.64 is: 4,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301 : 7,315.38 = 2,943.64 : x
  2. Step 2: Convert to fraction form
    5,301/7,315.38 = 2,943.64/x
  3. Step 3: Cross multiply
    5,301x = 7,315.38 × 2,943.64
  4. Step 4: Simplify right side
    5,301x = 21,533,845.18
  5. Step 5: Solve for x
    x = 21,533,845.18/5,301
  6. Step 6: Final answer
    x = 4,062.22

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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.