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Finding the Fourth Proportional to 6,875.40, 10,322.70 and 4,283.40

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Solution

The fourth proportional to 6,875.40, 10,322.70 and 4,283.40 is: 6,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.40 : 10,322.70 = 4,283.40 : x
  2. Step 2: Convert to fraction form
    6,875.40/10,322.70 = 4,283.40/x
  3. Step 3: Cross multiply
    6,875.40x = 10,322.70 × 4,283.40
  4. Step 4: Simplify right side
    6,875.40x = 44,216,253.18
  5. Step 5: Solve for x
    x = 44,216,253.18/6,875.40
  6. Step 6: Final answer
    x = 6,431.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.