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Finding the Fourth Proportional to 9,827.60, 14,717.10 and 9,390.20

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Solution

The fourth proportional to 9,827.60, 14,717.10 and 9,390.20 is: 14,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.60 : 14,717.10 = 9,390.20 : x
  2. Step 2: Convert to fraction form
    9,827.60/14,717.10 = 9,390.20/x
  3. Step 3: Cross multiply
    9,827.60x = 14,717.10 × 9,390.20
  4. Step 4: Simplify right side
    9,827.60x = 138,196,512.42
  5. Step 5: Solve for x
    x = 138,196,512.42/9,827.60
  6. Step 6: Final answer
    x = 14,062.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.