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Finding the Fourth Proportional to 6,278.40, 9,368.64 and 6,235.20

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Solution

The fourth proportional to 6,278.40, 9,368.64 and 6,235.20 is: 9,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.40 : 9,368.64 = 6,235.20 : x
  2. Step 2: Convert to fraction form
    6,278.40/9,368.64 = 6,235.20/x
  3. Step 3: Cross multiply
    6,278.40x = 9,368.64 × 6,235.20
  4. Step 4: Simplify right side
    6,278.40x = 58,415,344.13
  5. Step 5: Solve for x
    x = 58,415,344.13/6,278.40
  6. Step 6: Final answer
    x = 9,304.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.