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Finding the Fourth Proportional to 15,140, 20,895.90 and 14,475.80

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Solution

The fourth proportional to 15,140, 20,895.90 and 14,475.80 is: 19,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140 : 20,895.90 = 14,475.80 : x
  2. Step 2: Convert to fraction form
    15,140/20,895.90 = 14,475.80/x
  3. Step 3: Cross multiply
    15,140x = 20,895.90 × 14,475.80
  4. Step 4: Simplify right side
    15,140x = 302,484,869.22
  5. Step 5: Solve for x
    x = 302,484,869.22/15,140
  6. Step 6: Final answer
    x = 19,979.19

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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.