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Finding the Fourth Proportional to 35,646.50, 49,205.15 and 20,742.50

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Solution

The fourth proportional to 35,646.50, 49,205.15 and 20,742.50 is: 28,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,646.50 : 49,205.15 = 20,742.50 : x
  2. Step 2: Convert to fraction form
    35,646.50/49,205.15 = 20,742.50/x
  3. Step 3: Cross multiply
    35,646.50x = 49,205.15 × 20,742.50
  4. Step 4: Simplify right side
    35,646.50x = 1,020,637,823.88
  5. Step 5: Solve for x
    x = 1,020,637,823.88/35,646.50
  6. Step 6: Final answer
    x = 28,632.20

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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.