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Finding the Fourth Proportional to 14,072, 19,417.68 and 7,783.52

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Solution

The fourth proportional to 14,072, 19,417.68 and 7,783.52 is: 10,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072 : 19,417.68 = 7,783.52 : x
  2. Step 2: Convert to fraction form
    14,072/19,417.68 = 7,783.52/x
  3. Step 3: Cross multiply
    14,072x = 19,417.68 × 7,783.52
  4. Step 4: Simplify right side
    14,072x = 151,137,900.63
  5. Step 5: Solve for x
    x = 151,137,900.63/14,072
  6. Step 6: Final answer
    x = 10,740.33

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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.