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Finding the Fourth Proportional to 15,146, 20,899.80 and 8,430.08

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Solution

The fourth proportional to 15,146, 20,899.80 and 8,430.08 is: 11,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146 : 20,899.80 = 8,430.08 : x
  2. Step 2: Convert to fraction form
    15,146/20,899.80 = 8,430.08/x
  3. Step 3: Cross multiply
    15,146x = 20,899.80 × 8,430.08
  4. Step 4: Simplify right side
    15,146x = 176,186,985.98
  5. Step 5: Solve for x
    x = 176,186,985.98/15,146
  6. Step 6: Final answer
    x = 11,632.58

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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.