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Finding the Fourth Proportional to 14,449.61, 19,938.45 and 8,075.40

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Solution

The fourth proportional to 14,449.61, 19,938.45 and 8,075.40 is: 11,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.61 : 19,938.45 = 8,075.40 : x
  2. Step 2: Convert to fraction form
    14,449.61/19,938.45 = 8,075.40/x
  3. Step 3: Cross multiply
    14,449.61x = 19,938.45 × 8,075.40
  4. Step 4: Simplify right side
    14,449.61x = 161,010,959.13
  5. Step 5: Solve for x
    x = 161,010,959.13/14,449.61
  6. Step 6: Final answer
    x = 11,142.93

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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.