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Finding the Fourth Proportional to 9,959.16, 13,741.72 and 6,814.20

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Solution

The fourth proportional to 9,959.16, 13,741.72 and 6,814.20 is: 9,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.16 : 13,741.72 = 6,814.20 : x
  2. Step 2: Convert to fraction form
    9,959.16/13,741.72 = 6,814.20/x
  3. Step 3: Cross multiply
    9,959.16x = 13,741.72 × 6,814.20
  4. Step 4: Simplify right side
    9,959.16x = 93,638,828.42
  5. Step 5: Solve for x
    x = 93,638,828.42/9,959.16
  6. Step 6: Final answer
    x = 9,402.28

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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.