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Finding the Fourth Proportional to 7,870.61, 10,860.54 and 4,512.50

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Solution

The fourth proportional to 7,870.61, 10,860.54 and 4,512.50 is: 6,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.61 : 10,860.54 = 4,512.50 : x
  2. Step 2: Convert to fraction form
    7,870.61/10,860.54 = 4,512.50/x
  3. Step 3: Cross multiply
    7,870.61x = 10,860.54 × 4,512.50
  4. Step 4: Simplify right side
    7,870.61x = 49,008,186.75
  5. Step 5: Solve for x
    x = 49,008,186.75/7,870.61
  6. Step 6: Final answer
    x = 6,226.73

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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.