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Finding the Fourth Proportional to 4,875.84, 6,729.12 and 2,780.16

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Solution

The fourth proportional to 4,875.84, 6,729.12 and 2,780.16 is: 3,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.84 : 6,729.12 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    4,875.84/6,729.12 = 2,780.16/x
  3. Step 3: Cross multiply
    4,875.84x = 6,729.12 × 2,780.16
  4. Step 4: Simplify right side
    4,875.84x = 18,708,030.26
  5. Step 5: Solve for x
    x = 18,708,030.26/4,875.84
  6. Step 6: Final answer
    x = 3,836.88

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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.