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Finding the Fourth Proportional to 10,300.86, 15,421.86 and 9,646.97

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Solution

The fourth proportional to 10,300.86, 15,421.86 and 9,646.97 is: 14,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.86 : 15,421.86 = 9,646.97 : x
  2. Step 2: Convert to fraction form
    10,300.86/15,421.86 = 9,646.97/x
  3. Step 3: Cross multiply
    10,300.86x = 15,421.86 × 9,646.97
  4. Step 4: Simplify right side
    10,300.86x = 148,774,143.65
  5. Step 5: Solve for x
    x = 148,774,143.65/10,300.86
  6. Step 6: Final answer
    x = 14,442.89

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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.