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Finding the Fourth Proportional to 6,445.84, 8,894.04 and 6,117.76

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Solution

The fourth proportional to 6,445.84, 8,894.04 and 6,117.76 is: 8,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.84 : 8,894.04 = 6,117.76 : x
  2. Step 2: Convert to fraction form
    6,445.84/8,894.04 = 6,117.76/x
  3. Step 3: Cross multiply
    6,445.84x = 8,894.04 × 6,117.76
  4. Step 4: Simplify right side
    6,445.84x = 54,411,602.15
  5. Step 5: Solve for x
    x = 54,411,602.15/6,445.84
  6. Step 6: Final answer
    x = 8,441.35

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Half scale
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Double scale
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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.