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Finding the Fourth Proportional to 30,312.65, 45,471.65 and 9,257.45

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Solution

The fourth proportional to 30,312.65, 45,471.65 and 9,257.45 is: 13,886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.65 : 45,471.65 = 9,257.45 : x
  2. Step 2: Convert to fraction form
    30,312.65/45,471.65 = 9,257.45/x
  3. Step 3: Cross multiply
    30,312.65x = 45,471.65 × 9,257.45
  4. Step 4: Simplify right side
    30,312.65x = 420,951,252.65
  5. Step 5: Solve for x
    x = 420,951,252.65/30,312.65
  6. Step 6: Final answer
    x = 13,886.98

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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.