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Finding the Fourth Proportional to 9,886.70, 13,643.53 and 5,410.40

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Solution

The fourth proportional to 9,886.70, 13,643.53 and 5,410.40 is: 7,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.70 : 13,643.53 = 5,410.40 : x
  2. Step 2: Convert to fraction form
    9,886.70/13,643.53 = 5,410.40/x
  3. Step 3: Cross multiply
    9,886.70x = 13,643.53 × 5,410.40
  4. Step 4: Simplify right side
    9,886.70x = 73,816,927.66
  5. Step 5: Solve for x
    x = 73,816,927.66/9,886.70
  6. Step 6: Final answer
    x = 7,466.29

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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.