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Finding the Fourth Proportional to 4,973.68, 6,863.16 and 2,877.40

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Solution

The fourth proportional to 4,973.68, 6,863.16 and 2,877.40 is: 3,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.68 : 6,863.16 = 2,877.40 : x
  2. Step 2: Convert to fraction form
    4,973.68/6,863.16 = 2,877.40/x
  3. Step 3: Cross multiply
    4,973.68x = 6,863.16 × 2,877.40
  4. Step 4: Simplify right side
    4,973.68x = 19,748,056.58
  5. Step 5: Solve for x
    x = 19,748,056.58/4,973.68
  6. Step 6: Final answer
    x = 3,970.51

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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.