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Finding the Fourth Proportional to 13,762.04, 18,971.70 and 9,781.70

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Solution

The fourth proportional to 13,762.04, 18,971.70 and 9,781.70 is: 13,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.04 : 18,971.70 = 9,781.70 : x
  2. Step 2: Convert to fraction form
    13,762.04/18,971.70 = 9,781.70/x
  3. Step 3: Cross multiply
    13,762.04x = 18,971.70 × 9,781.70
  4. Step 4: Simplify right side
    13,762.04x = 185,575,477.89
  5. Step 5: Solve for x
    x = 185,575,477.89/13,762.04
  6. Step 6: Final answer
    x = 13,484.59

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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.