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Finding the Fourth Proportional to 9,604.80, 14,407.20 and 3,031.65

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Solution

The fourth proportional to 9,604.80, 14,407.20 and 3,031.65 is: 4,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.80 : 14,407.20 = 3,031.65 : x
  2. Step 2: Convert to fraction form
    9,604.80/14,407.20 = 3,031.65/x
  3. Step 3: Cross multiply
    9,604.80x = 14,407.20 × 3,031.65
  4. Step 4: Simplify right side
    9,604.80x = 43,677,587.88
  5. Step 5: Solve for x
    x = 43,677,587.88/9,604.80
  6. Step 6: Final answer
    x = 4,547.48

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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.