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Finding the Fourth Proportional to 30,645.47, 45,970.85 and 8,458.85

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Solution

The fourth proportional to 30,645.47, 45,970.85 and 8,458.85 is: 12,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645.47 : 45,970.85 = 8,458.85 : x
  2. Step 2: Convert to fraction form
    30,645.47/45,970.85 = 8,458.85/x
  3. Step 3: Cross multiply
    30,645.47x = 45,970.85 × 8,458.85
  4. Step 4: Simplify right side
    30,645.47x = 388,860,482.23
  5. Step 5: Solve for x
    x = 388,860,482.23/30,645.47
  6. Step 6: Final answer
    x = 12,689.00

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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.