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Finding the Fourth Proportional to 14,415.40, 19,894.62 and 9,038.68

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Solution

The fourth proportional to 14,415.40, 19,894.62 and 9,038.68 is: 12,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.40 : 19,894.62 = 9,038.68 : x
  2. Step 2: Convert to fraction form
    14,415.40/19,894.62 = 9,038.68/x
  3. Step 3: Cross multiply
    14,415.40x = 19,894.62 × 9,038.68
  4. Step 4: Simplify right side
    14,415.40x = 179,821,123.70
  5. Step 5: Solve for x
    x = 179,821,123.70/14,415.40
  6. Step 6: Final answer
    x = 12,474.24

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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.