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Finding the Fourth Proportional to 7,188.40, 9,894.72 and 6,430.24

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Solution

The fourth proportional to 7,188.40, 9,894.72 and 6,430.24 is: 8,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.40 : 9,894.72 = 6,430.24 : x
  2. Step 2: Convert to fraction form
    7,188.40/9,894.72 = 6,430.24/x
  3. Step 3: Cross multiply
    7,188.40x = 9,894.72 × 6,430.24
  4. Step 4: Simplify right side
    7,188.40x = 63,625,424.33
  5. Step 5: Solve for x
    x = 63,625,424.33/7,188.40
  6. Step 6: Final answer
    x = 8,851.12

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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.