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Finding the Fourth Proportional to 12,962.19, 19,462.74 and 7,421.79

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Solution

The fourth proportional to 12,962.19, 19,462.74 and 7,421.79 is: 11,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.19 : 19,462.74 = 7,421.79 : x
  2. Step 2: Convert to fraction form
    12,962.19/19,462.74 = 7,421.79/x
  3. Step 3: Cross multiply
    12,962.19x = 19,462.74 × 7,421.79
  4. Step 4: Simplify right side
    12,962.19x = 144,448,369.10
  5. Step 5: Solve for x
    x = 144,448,369.10/12,962.19
  6. Step 6: Final answer
    x = 11,143.82

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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.