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Finding the Fourth Proportional to 9,686.40, 13,368.48 and 6,542.40

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Solution

The fourth proportional to 9,686.40, 13,368.48 and 6,542.40 is: 9,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.40 : 13,368.48 = 6,542.40 : x
  2. Step 2: Convert to fraction form
    9,686.40/13,368.48 = 6,542.40/x
  3. Step 3: Cross multiply
    9,686.40x = 13,368.48 × 6,542.40
  4. Step 4: Simplify right side
    9,686.40x = 87,461,943.55
  5. Step 5: Solve for x
    x = 87,461,943.55/9,686.40
  6. Step 6: Final answer
    x = 9,029.35

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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.