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Finding the Fourth Proportional to 10,362.40, 14,307.18 and 7,968.16

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Solution

The fourth proportional to 10,362.40, 14,307.18 and 7,968.16 is: 11,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.40 : 14,307.18 = 7,968.16 : x
  2. Step 2: Convert to fraction form
    10,362.40/14,307.18 = 7,968.16/x
  3. Step 3: Cross multiply
    10,362.40x = 14,307.18 × 7,968.16
  4. Step 4: Simplify right side
    10,362.40x = 114,001,899.39
  5. Step 5: Solve for x
    x = 114,001,899.39/10,362.40
  6. Step 6: Final answer
    x = 11,001.50

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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.