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Finding the Fourth Proportional to 9,887.81, 13,641.35 and 6,104.40

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Solution

The fourth proportional to 9,887.81, 13,641.35 and 6,104.40 is: 8,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.81 : 13,641.35 = 6,104.40 : x
  2. Step 2: Convert to fraction form
    9,887.81/13,641.35 = 6,104.40/x
  3. Step 3: Cross multiply
    9,887.81x = 13,641.35 × 6,104.40
  4. Step 4: Simplify right side
    9,887.81x = 83,272,175.26
  5. Step 5: Solve for x
    x = 83,272,175.26/9,887.81
  6. Step 6: Final answer
    x = 8,421.70

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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.