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Finding the Fourth Proportional to 12,980.52, 19,459.10 and 4,658.58

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Solution

The fourth proportional to 12,980.52, 19,459.10 and 4,658.58 is: 6,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.52 : 19,459.10 = 4,658.58 : x
  2. Step 2: Convert to fraction form
    12,980.52/19,459.10 = 4,658.58/x
  3. Step 3: Cross multiply
    12,980.52x = 19,459.10 × 4,658.58
  4. Step 4: Simplify right side
    12,980.52x = 90,651,774.08
  5. Step 5: Solve for x
    x = 90,651,774.08/12,980.52
  6. Step 6: Final answer
    x = 6,983.68

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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.