Home / 1,534.98-2,117.43-975.07

Finding the Fourth Proportional to 1,534.98, 2,117.43 and 975.07

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Solution

The fourth proportional to 1,534.98, 2,117.43 and 975.07 is: 1,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.98 : 2,117.43 = 975.07 : x
  2. Step 2: Convert to fraction form
    1,534.98/2,117.43 = 975.07/x
  3. Step 3: Cross multiply
    1,534.98x = 2,117.43 × 975.07
  4. Step 4: Simplify right side
    1,534.98x = 2,064,642.47
  5. Step 5: Solve for x
    x = 2,064,642.47/1,534.98
  6. Step 6: Final answer
    x = 1,345.06

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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.