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Finding the Fourth Proportional to 12,758.40, 19,159.20 and 9,475.20

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Solution

The fourth proportional to 12,758.40, 19,159.20 and 9,475.20 is: 14,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.40 : 19,159.20 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    12,758.40/19,159.20 = 9,475.20/x
  3. Step 3: Cross multiply
    12,758.40x = 19,159.20 × 9,475.20
  4. Step 4: Simplify right side
    12,758.40x = 181,537,251.84
  5. Step 5: Solve for x
    x = 181,537,251.84/12,758.40
  6. Step 6: Final answer
    x = 14,228.84

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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.