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Finding the Fourth Proportional to 9,991.68, 14,987.40 and 7,802.24

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Solution

The fourth proportional to 9,991.68, 14,987.40 and 7,802.24 is: 11,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.68 : 14,987.40 = 7,802.24 : x
  2. Step 2: Convert to fraction form
    9,991.68/14,987.40 = 7,802.24/x
  3. Step 3: Cross multiply
    9,991.68x = 14,987.40 × 7,802.24
  4. Step 4: Simplify right side
    9,991.68x = 116,935,291.78
  5. Step 5: Solve for x
    x = 116,935,291.78/9,991.68
  6. Step 6: Final answer
    x = 11,703.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.