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Finding the Fourth Proportional to 27,700, 38,225.78 and 15,124.74

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Solution

The fourth proportional to 27,700, 38,225.78 and 15,124.74 is: 20,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700 : 38,225.78 = 15,124.74 : x
  2. Step 2: Convert to fraction form
    27,700/38,225.78 = 15,124.74/x
  3. Step 3: Cross multiply
    27,700x = 38,225.78 × 15,124.74
  4. Step 4: Simplify right side
    27,700x = 578,154,983.80
  5. Step 5: Solve for x
    x = 578,154,983.80/27,700
  6. Step 6: Final answer
    x = 20,872.02

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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.