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Finding the Fourth Proportional to 14,068.70, 19,416.14 and 8,403.40

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Solution

The fourth proportional to 14,068.70, 19,416.14 and 8,403.40 is: 11,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.70 : 19,416.14 = 8,403.40 : x
  2. Step 2: Convert to fraction form
    14,068.70/19,416.14 = 8,403.40/x
  3. Step 3: Cross multiply
    14,068.70x = 19,416.14 × 8,403.40
  4. Step 4: Simplify right side
    14,068.70x = 163,161,590.88
  5. Step 5: Solve for x
    x = 163,161,590.88/14,068.70
  6. Step 6: Final answer
    x = 11,597.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.