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Finding the Fourth Proportional to 10,075.70, 15,101.40 and 5,142.80

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Solution

The fourth proportional to 10,075.70, 15,101.40 and 5,142.80 is: 7,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.70 : 15,101.40 = 5,142.80 : x
  2. Step 2: Convert to fraction form
    10,075.70/15,101.40 = 5,142.80/x
  3. Step 3: Cross multiply
    10,075.70x = 15,101.40 × 5,142.80
  4. Step 4: Simplify right side
    10,075.70x = 77,663,479.92
  5. Step 5: Solve for x
    x = 77,663,479.92/10,075.70
  6. Step 6: Final answer
    x = 7,708.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.