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Finding the Fourth Proportional to 9,985.01, 13,782.53 and 6,445.49

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Solution

The fourth proportional to 9,985.01, 13,782.53 and 6,445.49 is: 8,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.01 : 13,782.53 = 6,445.49 : x
  2. Step 2: Convert to fraction form
    9,985.01/13,782.53 = 6,445.49/x
  3. Step 3: Cross multiply
    9,985.01x = 13,782.53 × 6,445.49
  4. Step 4: Simplify right side
    9,985.01x = 88,835,106.49
  5. Step 5: Solve for x
    x = 88,835,106.49/9,985.01
  6. Step 6: Final answer
    x = 8,896.85

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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.