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Finding the Fourth Proportional to 14,140.20, 19,513.86 and 7,852.20

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Solution

The fourth proportional to 14,140.20, 19,513.86 and 7,852.20 is: 10,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.20 : 19,513.86 = 7,852.20 : x
  2. Step 2: Convert to fraction form
    14,140.20/19,513.86 = 7,852.20/x
  3. Step 3: Cross multiply
    14,140.20x = 19,513.86 × 7,852.20
  4. Step 4: Simplify right side
    14,140.20x = 153,226,731.49
  5. Step 5: Solve for x
    x = 153,226,731.49/14,140.20
  6. Step 6: Final answer
    x = 10,836.25

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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.