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Finding the Fourth Proportional to 9,877.36, 13,630.36 and 5,686.32

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Solution

The fourth proportional to 9,877.36, 13,630.36 and 5,686.32 is: 7,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.36 : 13,630.36 = 5,686.32 : x
  2. Step 2: Convert to fraction form
    9,877.36/13,630.36 = 5,686.32/x
  3. Step 3: Cross multiply
    9,877.36x = 13,630.36 × 5,686.32
  4. Step 4: Simplify right side
    9,877.36x = 77,506,588.68
  5. Step 5: Solve for x
    x = 77,506,588.68/9,877.36
  6. Step 6: Final answer
    x = 7,846.89

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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.