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Finding the Fourth Proportional to 10,521, 15,783.84 and 3,595.68

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Solution

The fourth proportional to 10,521, 15,783.84 and 3,595.68 is: 5,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 15,783.84 = 3,595.68 : x
  2. Step 2: Convert to fraction form
    10,521/15,783.84 = 3,595.68/x
  3. Step 3: Cross multiply
    10,521x = 15,783.84 × 3,595.68
  4. Step 4: Simplify right side
    10,521x = 56,753,637.81
  5. Step 5: Solve for x
    x = 56,753,637.81/10,521
  6. Step 6: Final answer
    x = 5,394.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.