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Finding the Fourth Proportional to 19,715, 27,206.46 and 10,762.40

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Solution

The fourth proportional to 19,715, 27,206.46 and 10,762.40 is: 14,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715 : 27,206.46 = 10,762.40 : x
  2. Step 2: Convert to fraction form
    19,715/27,206.46 = 10,762.40/x
  3. Step 3: Cross multiply
    19,715x = 27,206.46 × 10,762.40
  4. Step 4: Simplify right side
    19,715x = 292,806,805.10
  5. Step 5: Solve for x
    x = 292,806,805.10/19,715
  6. Step 6: Final answer
    x = 14,851.98

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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.