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Finding the Fourth Proportional to 9,681.90, 13,360.50 and 5,702.10

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Solution

The fourth proportional to 9,681.90, 13,360.50 and 5,702.10 is: 7,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.90 : 13,360.50 = 5,702.10 : x
  2. Step 2: Convert to fraction form
    9,681.90/13,360.50 = 5,702.10/x
  3. Step 3: Cross multiply
    9,681.90x = 13,360.50 × 5,702.10
  4. Step 4: Simplify right side
    9,681.90x = 76,182,907.05
  5. Step 5: Solve for x
    x = 76,182,907.05/9,681.90
  6. Step 6: Final answer
    x = 7,868.59

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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.