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Finding the Fourth Proportional to 6,530.78, 8,985.69 and 6,347.01

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Solution

The fourth proportional to 6,530.78, 8,985.69 and 6,347.01 is: 8,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.78 : 8,985.69 = 6,347.01 : x
  2. Step 2: Convert to fraction form
    6,530.78/8,985.69 = 6,347.01/x
  3. Step 3: Cross multiply
    6,530.78x = 8,985.69 × 6,347.01
  4. Step 4: Simplify right side
    6,530.78x = 57,032,264.29
  5. Step 5: Solve for x
    x = 57,032,264.29/6,530.78
  6. Step 6: Final answer
    x = 8,732.84

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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.