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Finding the Fourth Proportional to 28,502.40, 42,754.18 and 9,782.34

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Solution

The fourth proportional to 28,502.40, 42,754.18 and 9,782.34 is: 14,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,502.40 : 42,754.18 = 9,782.34 : x
  2. Step 2: Convert to fraction form
    28,502.40/42,754.18 = 9,782.34/x
  3. Step 3: Cross multiply
    28,502.40x = 42,754.18 × 9,782.34
  4. Step 4: Simplify right side
    28,502.40x = 418,235,925.18
  5. Step 5: Solve for x
    x = 418,235,925.18/28,502.40
  6. Step 6: Final answer
    x = 14,673.71

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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.