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Finding the Fourth Proportional to 7,690.03, 10,609.65 and 4,666.20

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Solution

The fourth proportional to 7,690.03, 10,609.65 and 4,666.20 is: 6,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.03 : 10,609.65 = 4,666.20 : x
  2. Step 2: Convert to fraction form
    7,690.03/10,609.65 = 4,666.20/x
  3. Step 3: Cross multiply
    7,690.03x = 10,609.65 × 4,666.20
  4. Step 4: Simplify right side
    7,690.03x = 49,506,748.83
  5. Step 5: Solve for x
    x = 49,506,748.83/7,690.03
  6. Step 6: Final answer
    x = 6,437.78

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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.