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Finding the Fourth Proportional to 4,984, 6,877.92 and 2,888.16

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Solution

The fourth proportional to 4,984, 6,877.92 and 2,888.16 is: 3,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984 : 6,877.92 = 2,888.16 : x
  2. Step 2: Convert to fraction form
    4,984/6,877.92 = 2,888.16/x
  3. Step 3: Cross multiply
    4,984x = 6,877.92 × 2,888.16
  4. Step 4: Simplify right side
    4,984x = 19,864,533.43
  5. Step 5: Solve for x
    x = 19,864,533.43/4,984
  6. Step 6: Final answer
    x = 3,985.66

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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.