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Finding the Fourth Proportional to 6,152.31, 8,490.56 and 4,657.86

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Solution

The fourth proportional to 6,152.31, 8,490.56 and 4,657.86 is: 6,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.31 : 8,490.56 = 4,657.86 : x
  2. Step 2: Convert to fraction form
    6,152.31/8,490.56 = 4,657.86/x
  3. Step 3: Cross multiply
    6,152.31x = 8,490.56 × 4,657.86
  4. Step 4: Simplify right side
    6,152.31x = 39,547,816.51
  5. Step 5: Solve for x
    x = 39,547,816.51/6,152.31
  6. Step 6: Final answer
    x = 6,428.12

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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.