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Finding the Fourth Proportional to 5,386.87, 7,417 and 4,894.78

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Solution

The fourth proportional to 5,386.87, 7,417 and 4,894.78 is: 6,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.87 : 7,417 = 4,894.78 : x
  2. Step 2: Convert to fraction form
    5,386.87/7,417 = 4,894.78/x
  3. Step 3: Cross multiply
    5,386.87x = 7,417 × 4,894.78
  4. Step 4: Simplify right side
    5,386.87x = 36,304,583.26
  5. Step 5: Solve for x
    x = 36,304,583.26/5,386.87
  6. Step 6: Final answer
    x = 6,739.46

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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.