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Finding the Fourth Proportional to 31,870.78, 47,806.16 and 9,684.08

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Solution

The fourth proportional to 31,870.78, 47,806.16 and 9,684.08 is: 14,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.78 : 47,806.16 = 9,684.08 : x
  2. Step 2: Convert to fraction form
    31,870.78/47,806.16 = 9,684.08/x
  3. Step 3: Cross multiply
    31,870.78x = 47,806.16 × 9,684.08
  4. Step 4: Simplify right side
    31,870.78x = 462,958,677.93
  5. Step 5: Solve for x
    x = 462,958,677.93/31,870.78
  6. Step 6: Final answer
    x = 14,526.12

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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.