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Finding the Fourth Proportional to 14,362.78, 19,820.48 and 8,075.16

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Solution

The fourth proportional to 14,362.78, 19,820.48 and 8,075.16 is: 11,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.78 : 19,820.48 = 8,075.16 : x
  2. Step 2: Convert to fraction form
    14,362.78/19,820.48 = 8,075.16/x
  3. Step 3: Cross multiply
    14,362.78x = 19,820.48 × 8,075.16
  4. Step 4: Simplify right side
    14,362.78x = 160,053,547.28
  5. Step 5: Solve for x
    x = 160,053,547.28/14,362.78
  6. Step 6: Final answer
    x = 11,143.63

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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.