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Finding the Fourth Proportional to 12,710.49, 19,073 and 9,929.35

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Solution

The fourth proportional to 12,710.49, 19,073 and 9,929.35 is: 14,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.49 : 19,073 = 9,929.35 : x
  2. Step 2: Convert to fraction form
    12,710.49/19,073 = 9,929.35/x
  3. Step 3: Cross multiply
    12,710.49x = 19,073 × 9,929.35
  4. Step 4: Simplify right side
    12,710.49x = 189,382,492.55
  5. Step 5: Solve for x
    x = 189,382,492.55/12,710.49
  6. Step 6: Final answer
    x = 14,899.70

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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.