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Finding the Fourth Proportional to 10,657.95, 15,986.90 and 2,866.77

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Solution

The fourth proportional to 10,657.95, 15,986.90 and 2,866.77 is: 4,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.95 : 15,986.90 = 2,866.77 : x
  2. Step 2: Convert to fraction form
    10,657.95/15,986.90 = 2,866.77/x
  3. Step 3: Cross multiply
    10,657.95x = 15,986.90 × 2,866.77
  4. Step 4: Simplify right side
    10,657.95x = 45,830,750.98
  5. Step 5: Solve for x
    x = 45,830,750.98/10,657.95
  6. Step 6: Final answer
    x = 4,300.15

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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.