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Finding the Fourth Proportional to 9,885.71, 13,641.95 and 5,409.16

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Solution

The fourth proportional to 9,885.71, 13,641.95 and 5,409.16 is: 7,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.71 : 13,641.95 = 5,409.16 : x
  2. Step 2: Convert to fraction form
    9,885.71/13,641.95 = 5,409.16/x
  3. Step 3: Cross multiply
    9,885.71x = 13,641.95 × 5,409.16
  4. Step 4: Simplify right side
    9,885.71x = 73,791,449.40
  5. Step 5: Solve for x
    x = 73,791,449.40/9,885.71
  6. Step 6: Final answer
    x = 7,464.46

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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.