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Finding the Fourth Proportional to 10,342.95, 15,509.05 and 5,075.65

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Solution

The fourth proportional to 10,342.95, 15,509.05 and 5,075.65 is: 7,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.95 : 15,509.05 = 5,075.65 : x
  2. Step 2: Convert to fraction form
    10,342.95/15,509.05 = 5,075.65/x
  3. Step 3: Cross multiply
    10,342.95x = 15,509.05 × 5,075.65
  4. Step 4: Simplify right side
    10,342.95x = 78,718,509.63
  5. Step 5: Solve for x
    x = 78,718,509.63/10,342.95
  6. Step 6: Final answer
    x = 7,610.84

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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.