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Finding the Fourth Proportional to 30,803.65, 42,509.03 and 16,656.48

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Solution

The fourth proportional to 30,803.65, 42,509.03 and 16,656.48 is: 22,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.65 : 42,509.03 = 16,656.48 : x
  2. Step 2: Convert to fraction form
    30,803.65/42,509.03 = 16,656.48/x
  3. Step 3: Cross multiply
    30,803.65x = 42,509.03 × 16,656.48
  4. Step 4: Simplify right side
    30,803.65x = 708,050,724.73
  5. Step 5: Solve for x
    x = 708,050,724.73/30,803.65
  6. Step 6: Final answer
    x = 22,985.94

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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.