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Finding the Fourth Proportional to 9,971.84, 13,761.60 and 5,782.40

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Solution

The fourth proportional to 9,971.84, 13,761.60 and 5,782.40 is: 7,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.84 : 13,761.60 = 5,782.40 : x
  2. Step 2: Convert to fraction form
    9,971.84/13,761.60 = 5,782.40/x
  3. Step 3: Cross multiply
    9,971.84x = 13,761.60 × 5,782.40
  4. Step 4: Simplify right side
    9,971.84x = 79,575,075.84
  5. Step 5: Solve for x
    x = 79,575,075.84/9,971.84
  6. Step 6: Final answer
    x = 7,979.98

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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.