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Finding the Fourth Proportional to 19,294, 28,928.04 and 8,900.08

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Solution

The fourth proportional to 19,294, 28,928.04 and 8,900.08 is: 13,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294 : 28,928.04 = 8,900.08 : x
  2. Step 2: Convert to fraction form
    19,294/28,928.04 = 8,900.08/x
  3. Step 3: Cross multiply
    19,294x = 28,928.04 × 8,900.08
  4. Step 4: Simplify right side
    19,294x = 257,461,870.24
  5. Step 5: Solve for x
    x = 257,461,870.24/19,294
  6. Step 6: Final answer
    x = 13,344.14

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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.