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Finding the Fourth Proportional to 9,973.04, 13,762.68 and 5,781.68

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Solution

The fourth proportional to 9,973.04, 13,762.68 and 5,781.68 is: 7,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.04 : 13,762.68 = 5,781.68 : x
  2. Step 2: Convert to fraction form
    9,973.04/13,762.68 = 5,781.68/x
  3. Step 3: Cross multiply
    9,973.04x = 13,762.68 × 5,781.68
  4. Step 4: Simplify right side
    9,973.04x = 79,571,411.70
  5. Step 5: Solve for x
    x = 79,571,411.70/9,973.04
  6. Step 6: Final answer
    x = 7,978.65

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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.