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Finding the Fourth Proportional to 13,332.16, 18,400.32 and 7,746.24

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Solution

The fourth proportional to 13,332.16, 18,400.32 and 7,746.24 is: 10,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,332.16 : 18,400.32 = 7,746.24 : x
  2. Step 2: Convert to fraction form
    13,332.16/18,400.32 = 7,746.24/x
  3. Step 3: Cross multiply
    13,332.16x = 18,400.32 × 7,746.24
  4. Step 4: Simplify right side
    13,332.16x = 142,533,294.80
  5. Step 5: Solve for x
    x = 142,533,294.80/13,332.16
  6. Step 6: Final answer
    x = 10,690.94

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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.