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Finding the Fourth Proportional to 9,432.65, 13,018.18 and 5,657.89

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Solution

The fourth proportional to 9,432.65, 13,018.18 and 5,657.89 is: 7,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.65 : 13,018.18 = 5,657.89 : x
  2. Step 2: Convert to fraction form
    9,432.65/13,018.18 = 5,657.89/x
  3. Step 3: Cross multiply
    9,432.65x = 13,018.18 × 5,657.89
  4. Step 4: Simplify right side
    9,432.65x = 73,655,383.75
  5. Step 5: Solve for x
    x = 73,655,383.75/9,432.65
  6. Step 6: Final answer
    x = 7,808.56

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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.