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Finding the Fourth Proportional to 12,985.84, 19,460.31 and 9,483.91

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Solution

The fourth proportional to 12,985.84, 19,460.31 and 9,483.91 is: 14,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.84 : 19,460.31 = 9,483.91 : x
  2. Step 2: Convert to fraction form
    12,985.84/19,460.31 = 9,483.91/x
  3. Step 3: Cross multiply
    12,985.84x = 19,460.31 × 9,483.91
  4. Step 4: Simplify right side
    12,985.84x = 184,559,865.81
  5. Step 5: Solve for x
    x = 184,559,865.81/12,985.84
  6. Step 6: Final answer
    x = 14,212.39

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1.5x scale

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.