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Finding the Fourth Proportional to 10,557, 15,837.12 and 7,657.20

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Solution

The fourth proportional to 10,557, 15,837.12 and 7,657.20 is: 11,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557 : 15,837.12 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    10,557/15,837.12 = 7,657.20/x
  3. Step 3: Cross multiply
    10,557x = 15,837.12 × 7,657.20
  4. Step 4: Simplify right side
    10,557x = 121,267,995.26
  5. Step 5: Solve for x
    x = 121,267,995.26/10,557
  6. Step 6: Final answer
    x = 11,486.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.